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Finding the Fourth Proportional to 413,489.71, 570,598.12 and 241,417.23

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Solution

The fourth proportional to 413,489.71, 570,598.12 and 241,417.23 is: 333,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,489.71 : 570,598.12 = 241,417.23 : x
  2. Step 2: Convert to fraction form
    413,489.71/570,598.12 = 241,417.23/x
  3. Step 3: Cross multiply
    413,489.71x = 570,598.12 × 241,417.23
  4. Step 4: Simplify right side
    413,489.71x = 137,752,215,735.64
  5. Step 5: Solve for x
    x = 137,752,215,735.64/413,489.71
  6. Step 6: Final answer
    x = 333,145.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.