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Finding the Fourth Proportional to 282,729.68, 390,169.14 and 155,407.40

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Solution

The fourth proportional to 282,729.68, 390,169.14 and 155,407.40 is: 214,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,729.68 : 390,169.14 = 155,407.40 : x
  2. Step 2: Convert to fraction form
    282,729.68/390,169.14 = 155,407.40/x
  3. Step 3: Cross multiply
    282,729.68x = 390,169.14 × 155,407.40
  4. Step 4: Simplify right side
    282,729.68x = 60,635,171,607.64
  5. Step 5: Solve for x
    x = 60,635,171,607.64/282,729.68
  6. Step 6: Final answer
    x = 214,463.41

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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.