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Finding the Fourth Proportional to 349,807.84, 524,711.76 and 193,032.74

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Solution

The fourth proportional to 349,807.84, 524,711.76 and 193,032.74 is: 289,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,807.84 : 524,711.76 = 193,032.74 : x
  2. Step 2: Convert to fraction form
    349,807.84/524,711.76 = 193,032.74/x
  3. Step 3: Cross multiply
    349,807.84x = 524,711.76 × 193,032.74
  4. Step 4: Simplify right side
    349,807.84x = 101,286,549,330.93
  5. Step 5: Solve for x
    x = 101,286,549,330.93/349,807.84
  6. Step 6: Final answer
    x = 289,549.11

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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.