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Finding the Fourth Proportional to 472,188.51, 708,420.87 and 152,334.18

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Solution

The fourth proportional to 472,188.51, 708,420.87 and 152,334.18 is: 228,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,188.51 : 708,420.87 = 152,334.18 : x
  2. Step 2: Convert to fraction form
    472,188.51/708,420.87 = 152,334.18/x
  3. Step 3: Cross multiply
    472,188.51x = 708,420.87 × 152,334.18
  4. Step 4: Simplify right side
    472,188.51x = 107,916,712,326.34
  5. Step 5: Solve for x
    x = 107,916,712,326.34/472,188.51
  6. Step 6: Final answer
    x = 228,545.82

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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.