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Finding the Fourth Proportional to 282,840.90, 390,320.37 and 155,524.74

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Solution

The fourth proportional to 282,840.90, 390,320.37 and 155,524.74 is: 214,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,840.90 : 390,320.37 = 155,524.74 : x
  2. Step 2: Convert to fraction form
    282,840.90/390,320.37 = 155,524.74/x
  3. Step 3: Cross multiply
    282,840.90x = 390,320.37 × 155,524.74
  4. Step 4: Simplify right side
    282,840.90x = 60,704,474,060.95
  5. Step 5: Solve for x
    x = 60,704,474,060.95/282,840.90
  6. Step 6: Final answer
    x = 214,624.10

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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.