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Finding the Fourth Proportional to 491,530.24, 737,582.10 and 207,203.50

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Solution

The fourth proportional to 491,530.24, 737,582.10 and 207,203.50 is: 310,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,530.24 : 737,582.10 = 207,203.50 : x
  2. Step 2: Convert to fraction form
    491,530.24/737,582.10 = 207,203.50/x
  3. Step 3: Cross multiply
    491,530.24x = 737,582.10 × 207,203.50
  4. Step 4: Simplify right side
    491,530.24x = 152,829,592,657.35
  5. Step 5: Solve for x
    x = 152,829,592,657.35/491,530.24
  6. Step 6: Final answer
    x = 310,926.12

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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.