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Finding the Fourth Proportional to 413,547.30, 580,147.20 and 413,547.30

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Solution

The fourth proportional to 413,547.30, 580,147.20 and 413,547.30 is: 580,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,547.30 : 580,147.20 = 413,547.30 : x
  2. Step 2: Convert to fraction form
    413,547.30/580,147.20 = 413,547.30/x
  3. Step 3: Cross multiply
    413,547.30x = 580,147.20 × 413,547.30
  4. Step 4: Simplify right side
    413,547.30x = 239,918,308,162.56
  5. Step 5: Solve for x
    x = 239,918,308,162.56/413,547.30
  6. Step 6: Final answer
    x = 580,147.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.