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Finding the Fourth Proportional to 998,433, 1,497,649.50 and 333,585

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Solution

The fourth proportional to 998,433, 1,497,649.50 and 333,585 is: 500,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,433 : 1,497,649.50 = 333,585 : x
  2. Step 2: Convert to fraction form
    998,433/1,497,649.50 = 333,585/x
  3. Step 3: Cross multiply
    998,433x = 1,497,649.50 × 333,585
  4. Step 4: Simplify right side
    998,433x = 499,593,408,457.50
  5. Step 5: Solve for x
    x = 499,593,408,457.50/998,433
  6. Step 6: Final answer
    x = 500,377.50

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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.