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Finding the Fourth Proportional to 519,397.64, 716,769.43 and 293,064.20

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Solution

The fourth proportional to 519,397.64, 716,769.43 and 293,064.20 is: 404,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,397.64 : 716,769.43 = 293,064.20 : x
  2. Step 2: Convert to fraction form
    519,397.64/716,769.43 = 293,064.20/x
  3. Step 3: Cross multiply
    519,397.64x = 716,769.43 × 293,064.20
  4. Step 4: Simplify right side
    519,397.64x = 210,059,455,270.90
  5. Step 5: Solve for x
    x = 210,059,455,270.90/519,397.64
  6. Step 6: Final answer
    x = 404,428.98

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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.