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Finding the Fourth Proportional to 509,123.76, 704,113.12 and 445,350.80

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Solution

The fourth proportional to 509,123.76, 704,113.12 and 445,350.80 is: 615,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,123.76 : 704,113.12 = 445,350.80 : x
  2. Step 2: Convert to fraction form
    509,123.76/704,113.12 = 445,350.80/x
  3. Step 3: Cross multiply
    509,123.76x = 704,113.12 × 445,350.80
  4. Step 4: Simplify right side
    509,123.76x = 313,577,341,282.50
  5. Step 5: Solve for x
    x = 313,577,341,282.50/509,123.76
  6. Step 6: Final answer
    x = 615,915.75

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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.