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Finding the Fourth Proportional to 497,000.70, 745,501.05 and 460,464.14

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Solution

The fourth proportional to 497,000.70, 745,501.05 and 460,464.14 is: 690,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,000.70 : 745,501.05 = 460,464.14 : x
  2. Step 2: Convert to fraction form
    497,000.70/745,501.05 = 460,464.14/x
  3. Step 3: Cross multiply
    497,000.70x = 745,501.05 × 460,464.14
  4. Step 4: Simplify right side
    497,000.70x = 343,276,496,129.84
  5. Step 5: Solve for x
    x = 343,276,496,129.84/497,000.70
  6. Step 6: Final answer
    x = 690,696.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.