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Finding the Fourth Proportional to 543,669.17, 750,322.98 and 311,117.63

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Solution

The fourth proportional to 543,669.17, 750,322.98 and 311,117.63 is: 429,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,669.17 : 750,322.98 = 311,117.63 : x
  2. Step 2: Convert to fraction form
    543,669.17/750,322.98 = 311,117.63/x
  3. Step 3: Cross multiply
    543,669.17x = 750,322.98 × 311,117.63
  4. Step 4: Simplify right side
    543,669.17x = 233,438,703,520.52
  5. Step 5: Solve for x
    x = 233,438,703,520.52/543,669.17
  6. Step 6: Final answer
    x = 429,376.39

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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.