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Finding the Fourth Proportional to 410,848.10, 616,272.15 and 144,908.90

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Solution

The fourth proportional to 410,848.10, 616,272.15 and 144,908.90 is: 217,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,848.10 : 616,272.15 = 144,908.90 : x
  2. Step 2: Convert to fraction form
    410,848.10/616,272.15 = 144,908.90/x
  3. Step 3: Cross multiply
    410,848.10x = 616,272.15 × 144,908.90
  4. Step 4: Simplify right side
    410,848.10x = 89,303,319,357.14
  5. Step 5: Solve for x
    x = 89,303,319,357.14/410,848.10
  6. Step 6: Final answer
    x = 217,363.35

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1.5x scale

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.