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Finding the Fourth Proportional to 458,735.52, 633,050.64 and 257,530.08

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Solution

The fourth proportional to 458,735.52, 633,050.64 and 257,530.08 is: 355,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,735.52 : 633,050.64 = 257,530.08 : x
  2. Step 2: Convert to fraction form
    458,735.52/633,050.64 = 257,530.08/x
  3. Step 3: Cross multiply
    458,735.52x = 633,050.64 × 257,530.08
  4. Step 4: Simplify right side
    458,735.52x = 163,029,581,963.25
  5. Step 5: Solve for x
    x = 163,029,581,963.25/458,735.52
  6. Step 6: Final answer
    x = 355,389.05

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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.