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Finding the Fourth Proportional to 347,833.83, 524,120.01 and 286,038.12

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Solution

The fourth proportional to 347,833.83, 524,120.01 and 286,038.12 is: 431,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,833.83 : 524,120.01 = 286,038.12 : x
  2. Step 2: Convert to fraction form
    347,833.83/524,120.01 = 286,038.12/x
  3. Step 3: Cross multiply
    347,833.83x = 524,120.01 × 286,038.12
  4. Step 4: Simplify right side
    347,833.83x = 149,918,302,314.78
  5. Step 5: Solve for x
    x = 149,918,302,314.78/347,833.83
  6. Step 6: Final answer
    x = 431,005.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.