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Finding the Fourth Proportional to 442,507.40, 597,851.55 and 442,507.40

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Solution

The fourth proportional to 442,507.40, 597,851.55 and 442,507.40 is: 597,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,507.40 : 597,851.55 = 442,507.40 : x
  2. Step 2: Convert to fraction form
    442,507.40/597,851.55 = 442,507.40/x
  3. Step 3: Cross multiply
    442,507.40x = 597,851.55 × 442,507.40
  4. Step 4: Simplify right side
    442,507.40x = 264,553,734,976.47
  5. Step 5: Solve for x
    x = 264,553,734,976.47/442,507.40
  6. Step 6: Final answer
    x = 597,851.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.