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Finding the Fourth Proportional to 610,160.92, 841,522.82 and 429,471

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Solution

The fourth proportional to 610,160.92, 841,522.82 and 429,471 is: 592,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,160.92 : 841,522.82 = 429,471 : x
  2. Step 2: Convert to fraction form
    610,160.92/841,522.82 = 429,471/x
  3. Step 3: Cross multiply
    610,160.92x = 841,522.82 × 429,471
  4. Step 4: Simplify right side
    610,160.92x = 361,409,647,028.22
  5. Step 5: Solve for x
    x = 361,409,647,028.22/610,160.92
  6. Step 6: Final answer
    x = 592,318.58

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1.5x scale

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.