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Finding the Fourth Proportional to 314,452.32, 471,772.92 and 98,302.35

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Solution

The fourth proportional to 314,452.32, 471,772.92 and 98,302.35 is: 147,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,452.32 : 471,772.92 = 98,302.35 : x
  2. Step 2: Convert to fraction form
    314,452.32/471,772.92 = 98,302.35/x
  3. Step 3: Cross multiply
    314,452.32x = 471,772.92 × 98,302.35
  4. Step 4: Simplify right side
    314,452.32x = 46,376,386,702.36
  5. Step 5: Solve for x
    x = 46,376,386,702.36/314,452.32
  6. Step 6: Final answer
    x = 147,483.05

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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.