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Finding the Fourth Proportional to 402,118.65, 602,259.03 and 191,904.21

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Solution

The fourth proportional to 402,118.65, 602,259.03 and 191,904.21 is: 287,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,118.65 : 602,259.03 = 191,904.21 : x
  2. Step 2: Convert to fraction form
    402,118.65/602,259.03 = 191,904.21/x
  3. Step 3: Cross multiply
    402,118.65x = 602,259.03 × 191,904.21
  4. Step 4: Simplify right side
    402,118.65x = 115,576,043,367.52
  5. Step 5: Solve for x
    x = 115,576,043,367.52/402,118.65
  6. Step 6: Final answer
    x = 287,417.76

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1.5x scale

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.