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Finding the Fourth Proportional to 659,417.80, 989,126.70 and 456,464.20

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Solution

The fourth proportional to 659,417.80, 989,126.70 and 456,464.20 is: 684,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,417.80 : 989,126.70 = 456,464.20 : x
  2. Step 2: Convert to fraction form
    659,417.80/989,126.70 = 456,464.20/x
  3. Step 3: Cross multiply
    659,417.80x = 989,126.70 × 456,464.20
  4. Step 4: Simplify right side
    659,417.80x = 451,500,927,814.14
  5. Step 5: Solve for x
    x = 451,500,927,814.14/659,417.80
  6. Step 6: Final answer
    x = 684,696.30

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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.