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Finding the Fourth Proportional to 288,875.74, 433,225.32 and 101,843.50

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Solution

The fourth proportional to 288,875.74, 433,225.32 and 101,843.50 is: 152,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,875.74 : 433,225.32 = 101,843.50 : x
  2. Step 2: Convert to fraction form
    288,875.74/433,225.32 = 101,843.50/x
  3. Step 3: Cross multiply
    288,875.74x = 433,225.32 × 101,843.50
  4. Step 4: Simplify right side
    288,875.74x = 44,121,182,877.42
  5. Step 5: Solve for x
    x = 44,121,182,877.42/288,875.74
  6. Step 6: Final answer
    x = 152,734.12

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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.