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Finding the Fourth Proportional to 656,411.40, 984,617.10 and 375,697.80

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Solution

The fourth proportional to 656,411.40, 984,617.10 and 375,697.80 is: 563,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,411.40 : 984,617.10 = 375,697.80 : x
  2. Step 2: Convert to fraction form
    656,411.40/984,617.10 = 375,697.80/x
  3. Step 3: Cross multiply
    656,411.40x = 984,617.10 × 375,697.80
  4. Step 4: Simplify right side
    656,411.40x = 369,918,478,312.38
  5. Step 5: Solve for x
    x = 369,918,478,312.38/656,411.40
  6. Step 6: Final answer
    x = 563,546.70

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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.