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Finding the Fourth Proportional to 472,352.18, 708,666.28 and 152,496.52

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Solution

The fourth proportional to 472,352.18, 708,666.28 and 152,496.52 is: 228,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,352.18 : 708,666.28 = 152,496.52 : x
  2. Step 2: Convert to fraction form
    472,352.18/708,666.28 = 152,496.52/x
  3. Step 3: Cross multiply
    472,352.18x = 708,666.28 × 152,496.52
  4. Step 4: Simplify right side
    472,352.18x = 108,069,141,541.35
  5. Step 5: Solve for x
    x = 108,069,141,541.35/472,352.18
  6. Step 6: Final answer
    x = 228,789.34

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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.