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Finding the Fourth Proportional to 458,030.24, 631,952.52 and 296,892.08

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Solution

The fourth proportional to 458,030.24, 631,952.52 and 296,892.08 is: 409,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,030.24 : 631,952.52 = 296,892.08 : x
  2. Step 2: Convert to fraction form
    458,030.24/631,952.52 = 296,892.08/x
  3. Step 3: Cross multiply
    458,030.24x = 631,952.52 × 296,892.08
  4. Step 4: Simplify right side
    458,030.24x = 187,621,698,124.04
  5. Step 5: Solve for x
    x = 187,621,698,124.04/458,030.24
  6. Step 6: Final answer
    x = 409,627.32

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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.