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Finding the Fourth Proportional to 313,059.12, 469,534.06 and 144,565.08

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Solution

The fourth proportional to 313,059.12, 469,534.06 and 144,565.08 is: 216,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,059.12 : 469,534.06 = 144,565.08 : x
  2. Step 2: Convert to fraction form
    313,059.12/469,534.06 = 144,565.08/x
  3. Step 3: Cross multiply
    313,059.12x = 469,534.06 × 144,565.08
  4. Step 4: Simplify right side
    313,059.12x = 67,878,228,946.62
  5. Step 5: Solve for x
    x = 67,878,228,946.62/313,059.12
  6. Step 6: Final answer
    x = 216,822.40

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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.