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Finding the Fourth Proportional to 610,159.92, 841,521.44 and 429,470

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Solution

The fourth proportional to 610,159.92, 841,521.44 and 429,470 is: 592,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,159.92 : 841,521.44 = 429,470 : x
  2. Step 2: Convert to fraction form
    610,159.92/841,521.44 = 429,470/x
  3. Step 3: Cross multiply
    610,159.92x = 841,521.44 × 429,470
  4. Step 4: Simplify right side
    610,159.92x = 361,408,212,836.80
  5. Step 5: Solve for x
    x = 361,408,212,836.80/610,159.92
  6. Step 6: Final answer
    x = 592,317.20

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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.