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Finding the Fourth Proportional to 497,002.80, 745,504.20 and 463,541.70

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Solution

The fourth proportional to 497,002.80, 745,504.20 and 463,541.70 is: 695,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,002.80 : 745,504.20 = 463,541.70 : x
  2. Step 2: Convert to fraction form
    497,002.80/745,504.20 = 463,541.70/x
  3. Step 3: Cross multiply
    497,002.80x = 745,504.20 × 463,541.70
  4. Step 4: Simplify right side
    497,002.80x = 345,572,284,225.14
  5. Step 5: Solve for x
    x = 345,572,284,225.14/497,002.80
  6. Step 6: Final answer
    x = 695,312.55

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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.