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Finding the Fourth Proportional to 458,711.52, 633,017.52 and 257,506.08

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Solution

The fourth proportional to 458,711.52, 633,017.52 and 257,506.08 is: 355,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,711.52 : 633,017.52 = 257,506.08 : x
  2. Step 2: Convert to fraction form
    458,711.52/633,017.52 = 257,506.08/x
  3. Step 3: Cross multiply
    458,711.52x = 633,017.52 × 257,506.08
  4. Step 4: Simplify right side
    458,711.52x = 163,005,860,146.52
  5. Step 5: Solve for x
    x = 163,005,860,146.52/458,711.52
  6. Step 6: Final answer
    x = 355,355.93

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1.5x scale

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.