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Finding the Fourth Proportional to 458,733.52, 633,047.88 and 257,528.08

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Solution

The fourth proportional to 458,733.52, 633,047.88 and 257,528.08 is: 355,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,733.52 : 633,047.88 = 257,528.08 : x
  2. Step 2: Convert to fraction form
    458,733.52/633,047.88 = 257,528.08/x
  3. Step 3: Cross multiply
    458,733.52x = 633,047.88 × 257,528.08
  4. Step 4: Simplify right side
    458,733.52x = 163,027,605,084.47
  5. Step 5: Solve for x
    x = 163,027,605,084.47/458,733.52
  6. Step 6: Final answer
    x = 355,386.29

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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.