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Finding the Fourth Proportional to 360,193.86, 497,106 and 207,238.74

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Solution

The fourth proportional to 360,193.86, 497,106 and 207,238.74 is: 286,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,193.86 : 497,106 = 207,238.74 : x
  2. Step 2: Convert to fraction form
    360,193.86/497,106 = 207,238.74/x
  3. Step 3: Cross multiply
    360,193.86x = 497,106 × 207,238.74
  4. Step 4: Simplify right side
    360,193.86x = 103,019,621,086.44
  5. Step 5: Solve for x
    x = 103,019,621,086.44/360,193.86
  6. Step 6: Final answer
    x = 286,011.60

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1.5x scale

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.