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Finding the Fourth Proportional to 458,197.16, 632,281.70 and 254,235.15

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Solution

The fourth proportional to 458,197.16, 632,281.70 and 254,235.15 is: 350,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,197.16 : 632,281.70 = 254,235.15 : x
  2. Step 2: Convert to fraction form
    458,197.16/632,281.70 = 254,235.15/x
  3. Step 3: Cross multiply
    458,197.16x = 632,281.70 × 254,235.15
  4. Step 4: Simplify right side
    458,197.16x = 160,748,231,570.58
  5. Step 5: Solve for x
    x = 160,748,231,570.58/458,197.16
  6. Step 6: Final answer
    x = 350,827.65

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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.