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Finding the Fourth Proportional to 472,256.70, 708,352.65 and 152,403.90

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Solution

The fourth proportional to 472,256.70, 708,352.65 and 152,403.90 is: 228,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,256.70 : 708,352.65 = 152,403.90 : x
  2. Step 2: Convert to fraction form
    472,256.70/708,352.65 = 152,403.90/x
  3. Step 3: Cross multiply
    472,256.70x = 708,352.65 × 152,403.90
  4. Step 4: Simplify right side
    472,256.70x = 107,955,706,435.34
  5. Step 5: Solve for x
    x = 107,955,706,435.34/472,256.70
  6. Step 6: Final answer
    x = 228,595.39

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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.