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Finding the Fourth Proportional to 413,547.55, 580,147.55 and 413,547.55

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Solution

The fourth proportional to 413,547.55, 580,147.55 and 413,547.55 is: 580,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,547.55 : 580,147.55 = 413,547.55 : x
  2. Step 2: Convert to fraction form
    413,547.55/580,147.55 = 413,547.55/x
  3. Step 3: Cross multiply
    413,547.55x = 580,147.55 × 413,547.55
  4. Step 4: Simplify right side
    413,547.55x = 239,918,597,941.00
  5. Step 5: Solve for x
    x = 239,918,597,941.00/413,547.55
  6. Step 6: Final answer
    x = 580,147.55

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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.