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Finding the Fourth Proportional to 288,518.90, 432,778.35 and 164,102.90

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Solution

The fourth proportional to 288,518.90, 432,778.35 and 164,102.90 is: 246,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,518.90 : 432,778.35 = 164,102.90 : x
  2. Step 2: Convert to fraction form
    288,518.90/432,778.35 = 164,102.90/x
  3. Step 3: Cross multiply
    288,518.90x = 432,778.35 × 164,102.90
  4. Step 4: Simplify right side
    288,518.90x = 71,020,182,292.22
  5. Step 5: Solve for x
    x = 71,020,182,292.22/288,518.90
  6. Step 6: Final answer
    x = 246,154.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.