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Finding the Fourth Proportional to 473,889.81, 653,969.25 and 282,899.10

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Solution

The fourth proportional to 473,889.81, 653,969.25 and 282,899.10 is: 390,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,889.81 : 653,969.25 = 282,899.10 : x
  2. Step 2: Convert to fraction form
    473,889.81/653,969.25 = 282,899.10/x
  3. Step 3: Cross multiply
    473,889.81x = 653,969.25 × 282,899.10
  4. Step 4: Simplify right side
    473,889.81x = 185,007,312,252.68
  5. Step 5: Solve for x
    x = 185,007,312,252.68/473,889.81
  6. Step 6: Final answer
    x = 390,401.54

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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.