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Finding the Fourth Proportional to 533,488.70, 736,204.10 and 291,770.53

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Solution

The fourth proportional to 533,488.70, 736,204.10 and 291,770.53 is: 402,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,488.70 : 736,204.10 = 291,770.53 : x
  2. Step 2: Convert to fraction form
    533,488.70/736,204.10 = 291,770.53/x
  3. Step 3: Cross multiply
    533,488.70x = 736,204.10 × 291,770.53
  4. Step 4: Simplify right side
    533,488.70x = 214,802,657,145.81
  5. Step 5: Solve for x
    x = 214,802,657,145.81/533,488.70
  6. Step 6: Final answer
    x = 402,637.69

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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.