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Finding the Fourth Proportional to 242,412.69, 365,077.71 and 214,681.53

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Solution

The fourth proportional to 242,412.69, 365,077.71 and 214,681.53 is: 323,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,412.69 : 365,077.71 = 214,681.53 : x
  2. Step 2: Convert to fraction form
    242,412.69/365,077.71 = 214,681.53/x
  3. Step 3: Cross multiply
    242,412.69x = 365,077.71 × 214,681.53
  4. Step 4: Simplify right side
    242,412.69x = 78,375,441,351.70
  5. Step 5: Solve for x
    x = 78,375,441,351.70/242,412.69
  6. Step 6: Final answer
    x = 323,314.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.