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Finding the Fourth Proportional to 578,430.72, 868,978.08 and 410,368.32

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Solution

The fourth proportional to 578,430.72, 868,978.08 and 410,368.32 is: 616,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,430.72 : 868,978.08 = 410,368.32 : x
  2. Step 2: Convert to fraction form
    578,430.72/868,978.08 = 410,368.32/x
  3. Step 3: Cross multiply
    578,430.72x = 868,978.08 × 410,368.32
  4. Step 4: Simplify right side
    578,430.72x = 356,601,074,806.43
  5. Step 5: Solve for x
    x = 356,601,074,806.43/578,430.72
  6. Step 6: Final answer
    x = 616,497.47

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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.