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Finding the Fourth Proportional to 333,833.76, 500,445.12 and 144,175.20

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Solution

The fourth proportional to 333,833.76, 500,445.12 and 144,175.20 is: 216,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,833.76 : 500,445.12 = 144,175.20 : x
  2. Step 2: Convert to fraction form
    333,833.76/500,445.12 = 144,175.20/x
  3. Step 3: Cross multiply
    333,833.76x = 500,445.12 × 144,175.20
  4. Step 4: Simplify right side
    333,833.76x = 72,151,775,265.02
  5. Step 5: Solve for x
    x = 72,151,775,265.02/333,833.76
  6. Step 6: Final answer
    x = 216,130.85

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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.