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Finding the Fourth Proportional to 564,760.64, 779,368.07 and 338,406.14

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Solution

The fourth proportional to 564,760.64, 779,368.07 and 338,406.14 is: 466,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,760.64 : 779,368.07 = 338,406.14 : x
  2. Step 2: Convert to fraction form
    564,760.64/779,368.07 = 338,406.14/x
  3. Step 3: Cross multiply
    564,760.64x = 779,368.07 × 338,406.14
  4. Step 4: Simplify right side
    564,760.64x = 263,742,934,619.08
  5. Step 5: Solve for x
    x = 263,742,934,619.08/564,760.64
  6. Step 6: Final answer
    x = 466,999.50

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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.