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Finding the Fourth Proportional to 369,762.42, 510,228.24 and 208,608.06

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Solution

The fourth proportional to 369,762.42, 510,228.24 and 208,608.06 is: 287,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,762.42 : 510,228.24 = 208,608.06 : x
  2. Step 2: Convert to fraction form
    369,762.42/510,228.24 = 208,608.06/x
  3. Step 3: Cross multiply
    369,762.42x = 510,228.24 × 208,608.06
  4. Step 4: Simplify right side
    369,762.42x = 106,437,723,303.61
  5. Step 5: Solve for x
    x = 106,437,723,303.61/369,762.42
  6. Step 6: Final answer
    x = 287,854.36

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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.