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Finding the Fourth Proportional to 307,838.34, 424,700.01 and 186,933.96

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Solution

The fourth proportional to 307,838.34, 424,700.01 and 186,933.96 is: 257,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,838.34 : 424,700.01 = 186,933.96 : x
  2. Step 2: Convert to fraction form
    307,838.34/424,700.01 = 186,933.96/x
  3. Step 3: Cross multiply
    307,838.34x = 424,700.01 × 186,933.96
  4. Step 4: Simplify right side
    307,838.34x = 79,390,854,681.34
  5. Step 5: Solve for x
    x = 79,390,854,681.34/307,838.34
  6. Step 6: Final answer
    x = 257,897.88

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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.