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Finding the Fourth Proportional to 510,275.95, 704,154.55 and 280,855.02

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Solution

The fourth proportional to 510,275.95, 704,154.55 and 280,855.02 is: 387,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,275.95 : 704,154.55 = 280,855.02 : x
  2. Step 2: Convert to fraction form
    510,275.95/704,154.55 = 280,855.02/x
  3. Step 3: Cross multiply
    510,275.95x = 704,154.55 × 280,855.02
  4. Step 4: Simplify right side
    510,275.95x = 197,765,340,574.41
  5. Step 5: Solve for x
    x = 197,765,340,574.41/510,275.95
  6. Step 6: Final answer
    x = 387,565.47

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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.