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Finding the Fourth Proportional to 564,767.68, 779,461.02 and 338,434.24

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Solution

The fourth proportional to 564,767.68, 779,461.02 and 338,434.24 is: 467,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,767.68 : 779,461.02 = 338,434.24 : x
  2. Step 2: Convert to fraction form
    564,767.68/779,461.02 = 338,434.24/x
  3. Step 3: Cross multiply
    564,767.68x = 779,461.02 × 338,434.24
  4. Step 4: Simplify right side
    564,767.68x = 263,796,297,913.33
  5. Step 5: Solve for x
    x = 263,796,297,913.33/564,767.68
  6. Step 6: Final answer
    x = 467,088.16

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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.