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Finding the Fourth Proportional to 610,114, 841,957.32 and 371,650

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Solution

The fourth proportional to 610,114, 841,957.32 and 371,650 is: 512,877

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,114 : 841,957.32 = 371,650 : x
  2. Step 2: Convert to fraction form
    610,114/841,957.32 = 371,650/x
  3. Step 3: Cross multiply
    610,114x = 841,957.32 × 371,650
  4. Step 4: Simplify right side
    610,114x = 312,913,437,978
  5. Step 5: Solve for x
    x = 312,913,437,978/610,114
  6. Step 6: Final answer
    x = 512,877

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.