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Finding the Fourth Proportional to 333,064.02, 499,153.14 and 288,482.02

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Solution

The fourth proportional to 333,064.02, 499,153.14 and 288,482.02 is: 432,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,064.02 : 499,153.14 = 288,482.02 : x
  2. Step 2: Convert to fraction form
    333,064.02/499,153.14 = 288,482.02/x
  3. Step 3: Cross multiply
    333,064.02x = 499,153.14 × 288,482.02
  4. Step 4: Simplify right side
    333,064.02x = 143,996,706,116.54
  5. Step 5: Solve for x
    x = 143,996,706,116.54/333,064.02
  6. Step 6: Final answer
    x = 432,339.42

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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.