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Finding the Fourth Proportional to 712,770.68, 1,069,005.52 and 424,710

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Solution

The fourth proportional to 712,770.68, 1,069,005.52 and 424,710 is: 636,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,770.68 : 1,069,005.52 = 424,710 : x
  2. Step 2: Convert to fraction form
    712,770.68/1,069,005.52 = 424,710/x
  3. Step 3: Cross multiply
    712,770.68x = 1,069,005.52 × 424,710
  4. Step 4: Simplify right side
    712,770.68x = 454,017,334,399.20
  5. Step 5: Solve for x
    x = 454,017,334,399.20/712,770.68
  6. Step 6: Final answer
    x = 636,975.32

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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.