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Finding the Fourth Proportional to 598,501, 825,931.38 and 330,229

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Solution

The fourth proportional to 598,501, 825,931.38 and 330,229 is: 455,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,501 : 825,931.38 = 330,229 : x
  2. Step 2: Convert to fraction form
    598,501/825,931.38 = 330,229/x
  3. Step 3: Cross multiply
    598,501x = 825,931.38 × 330,229
  4. Step 4: Simplify right side
    598,501x = 272,746,493,686.02
  5. Step 5: Solve for x
    x = 272,746,493,686.02/598,501
  6. Step 6: Final answer
    x = 455,716.02

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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.