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Finding the Fourth Proportional to 506,713.20, 760,069.80 and 465,378.90

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Solution

The fourth proportional to 506,713.20, 760,069.80 and 465,378.90 is: 698,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,713.20 : 760,069.80 = 465,378.90 : x
  2. Step 2: Convert to fraction form
    506,713.20/760,069.80 = 465,378.90/x
  3. Step 3: Cross multiply
    506,713.20x = 760,069.80 × 465,378.90
  4. Step 4: Simplify right side
    506,713.20x = 353,720,447,447.22
  5. Step 5: Solve for x
    x = 353,720,447,447.22/506,713.20
  6. Step 6: Final answer
    x = 698,068.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.