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Finding the Fourth Proportional to 413,741.70, 620,612.55 and 147,510.90

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Solution

The fourth proportional to 413,741.70, 620,612.55 and 147,510.90 is: 221,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741.70 : 620,612.55 = 147,510.90 : x
  2. Step 2: Convert to fraction form
    413,741.70/620,612.55 = 147,510.90/x
  3. Step 3: Cross multiply
    413,741.70x = 620,612.55 × 147,510.90
  4. Step 4: Simplify right side
    413,741.70x = 91,547,115,801.80
  5. Step 5: Solve for x
    x = 91,547,115,801.80/413,741.70
  6. Step 6: Final answer
    x = 221,266.35

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Similar ratio
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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.