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Finding the Fourth Proportional to 410,547.70, 615,821.55 and 268,830.10

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Solution

The fourth proportional to 410,547.70, 615,821.55 and 268,830.10 is: 403,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,547.70 : 615,821.55 = 268,830.10 : x
  2. Step 2: Convert to fraction form
    410,547.70/615,821.55 = 268,830.10/x
  3. Step 3: Cross multiply
    410,547.70x = 615,821.55 × 268,830.10
  4. Step 4: Simplify right side
    410,547.70x = 165,551,368,868.66
  5. Step 5: Solve for x
    x = 165,551,368,868.66/410,547.70
  6. Step 6: Final answer
    x = 403,245.15

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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.