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Finding the Fourth Proportional to 472,435.35, 708,646.86 and 117,452.44

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Solution

The fourth proportional to 472,435.35, 708,646.86 and 117,452.44 is: 176,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,435.35 : 708,646.86 = 117,452.44 : x
  2. Step 2: Convert to fraction form
    472,435.35/708,646.86 = 117,452.44/x
  3. Step 3: Cross multiply
    472,435.35x = 708,646.86 × 117,452.44
  4. Step 4: Simplify right side
    472,435.35x = 83,232,302,805.34
  5. Step 5: Solve for x
    x = 83,232,302,805.34/472,435.35
  6. Step 6: Final answer
    x = 176,177.13

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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.