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Finding the Fourth Proportional to 687,547.14, 948,800.76 and 381,605.58

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Solution

The fourth proportional to 687,547.14, 948,800.76 and 381,605.58 is: 526,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,547.14 : 948,800.76 = 381,605.58 : x
  2. Step 2: Convert to fraction form
    687,547.14/948,800.76 = 381,605.58/x
  3. Step 3: Cross multiply
    687,547.14x = 948,800.76 × 381,605.58
  4. Step 4: Simplify right side
    687,547.14x = 362,067,664,324.24
  5. Step 5: Solve for x
    x = 362,067,664,324.24/687,547.14
  6. Step 6: Final answer
    x = 526,607.77

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Double scale
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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.