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Finding the Fourth Proportional to 458,000.19, 632,023.16 and 256,783.23

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Solution

The fourth proportional to 458,000.19, 632,023.16 and 256,783.23 is: 354,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,000.19 : 632,023.16 = 256,783.23 : x
  2. Step 2: Convert to fraction form
    458,000.19/632,023.16 = 256,783.23/x
  3. Step 3: Cross multiply
    458,000.19x = 632,023.16 × 256,783.23
  4. Step 4: Simplify right side
    458,000.19x = 162,292,947,175.69
  5. Step 5: Solve for x
    x = 162,292,947,175.69/458,000.19
  6. Step 6: Final answer
    x = 354,351.27

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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.