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Finding the Fourth Proportional to 577,364.13, 866,094.65 and 212,725

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Solution

The fourth proportional to 577,364.13, 866,094.65 and 212,725 is: 319,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,364.13 : 866,094.65 = 212,725 : x
  2. Step 2: Convert to fraction form
    577,364.13/866,094.65 = 212,725/x
  3. Step 3: Cross multiply
    577,364.13x = 866,094.65 × 212,725
  4. Step 4: Simplify right side
    577,364.13x = 184,239,984,421.25
  5. Step 5: Solve for x
    x = 184,239,984,421.25/577,364.13
  6. Step 6: Final answer
    x = 319,105.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.