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Finding the Fourth Proportional to 472,157.55, 708,374.24 and 152,302.34

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Solution

The fourth proportional to 472,157.55, 708,374.24 and 152,302.34 is: 228,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,157.55 : 708,374.24 = 152,302.34 : x
  2. Step 2: Convert to fraction form
    472,157.55/708,374.24 = 152,302.34/x
  3. Step 3: Cross multiply
    472,157.55x = 708,374.24 × 152,302.34
  4. Step 4: Simplify right side
    472,157.55x = 107,887,050,044.34
  5. Step 5: Solve for x
    x = 107,887,050,044.34/472,157.55
  6. Step 6: Final answer
    x = 228,497.99

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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.