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Finding the Fourth Proportional to 333,127, 459,937.02 and 197,204.68

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Solution

The fourth proportional to 333,127, 459,937.02 and 197,204.68 is: 272,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,127 : 459,937.02 = 197,204.68 : x
  2. Step 2: Convert to fraction form
    333,127/459,937.02 = 197,204.68/x
  3. Step 3: Cross multiply
    333,127x = 459,937.02 × 197,204.68
  4. Step 4: Simplify right side
    333,127x = 90,701,732,849.25
  5. Step 5: Solve for x
    x = 90,701,732,849.25/333,127
  6. Step 6: Final answer
    x = 272,273.74

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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.