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Finding the Fourth Proportional to 565,295.68, 780,411.36 and 435,951.28

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Solution

The fourth proportional to 565,295.68, 780,411.36 and 435,951.28 is: 601,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,295.68 : 780,411.36 = 435,951.28 : x
  2. Step 2: Convert to fraction form
    565,295.68/780,411.36 = 435,951.28/x
  3. Step 3: Cross multiply
    565,295.68x = 780,411.36 × 435,951.28
  4. Step 4: Simplify right side
    565,295.68x = 340,221,331,318.54
  5. Step 5: Solve for x
    x = 340,221,331,318.54/565,295.68
  6. Step 6: Final answer
    x = 601,846.69

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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.