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Finding the Fourth Proportional to 509,114.80, 763,672.20 and 176,690.80

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Solution

The fourth proportional to 509,114.80, 763,672.20 and 176,690.80 is: 265,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,114.80 : 763,672.20 = 176,690.80 : x
  2. Step 2: Convert to fraction form
    509,114.80/763,672.20 = 176,690.80/x
  3. Step 3: Cross multiply
    509,114.80x = 763,672.20 × 176,690.80
  4. Step 4: Simplify right side
    509,114.80x = 134,933,851,955.76
  5. Step 5: Solve for x
    x = 134,933,851,955.76/509,114.80
  6. Step 6: Final answer
    x = 265,036.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.