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Finding the Fourth Proportional to 460,670.66, 690,840.72 and 176,441.12

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Solution

The fourth proportional to 460,670.66, 690,840.72 and 176,441.12 is: 264,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,670.66 : 690,840.72 = 176,441.12 : x
  2. Step 2: Convert to fraction form
    460,670.66/690,840.72 = 176,441.12/x
  3. Step 3: Cross multiply
    460,670.66x = 690,840.72 × 176,441.12
  4. Step 4: Simplify right side
    460,670.66x = 121,892,710,378.41
  5. Step 5: Solve for x
    x = 121,892,710,378.41/460,670.66
  6. Step 6: Final answer
    x = 264,598.38

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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.