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Finding the Fourth Proportional to 564,113.71, 778,487.44 and 346,213.18

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Solution

The fourth proportional to 564,113.71, 778,487.44 and 346,213.18 is: 477,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,113.71 : 778,487.44 = 346,213.18 : x
  2. Step 2: Convert to fraction form
    564,113.71/778,487.44 = 346,213.18/x
  3. Step 3: Cross multiply
    564,113.71x = 778,487.44 × 346,213.18
  4. Step 4: Simplify right side
    564,113.71x = 269,522,612,192.46
  5. Step 5: Solve for x
    x = 269,522,612,192.46/564,113.71
  6. Step 6: Final answer
    x = 477,780.64

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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.