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Finding the Fourth Proportional to 650,788.16, 897,984.24 and 364,320.32

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Solution

The fourth proportional to 650,788.16, 897,984.24 and 364,320.32 is: 502,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,788.16 : 897,984.24 = 364,320.32 : x
  2. Step 2: Convert to fraction form
    650,788.16/897,984.24 = 364,320.32/x
  3. Step 3: Cross multiply
    650,788.16x = 897,984.24 × 364,320.32
  4. Step 4: Simplify right side
    650,788.16x = 327,153,905,671.76
  5. Step 5: Solve for x
    x = 327,153,905,671.76/650,788.16
  6. Step 6: Final answer
    x = 502,704.15

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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.