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Finding the Fourth Proportional to 585,022.40, 877,533.60 and 478,734.20

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Solution

The fourth proportional to 585,022.40, 877,533.60 and 478,734.20 is: 718,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,022.40 : 877,533.60 = 478,734.20 : x
  2. Step 2: Convert to fraction form
    585,022.40/877,533.60 = 478,734.20/x
  3. Step 3: Cross multiply
    585,022.40x = 877,533.60 × 478,734.20
  4. Step 4: Simplify right side
    585,022.40x = 420,105,345,969.12
  5. Step 5: Solve for x
    x = 420,105,345,969.12/585,022.40
  6. Step 6: Final answer
    x = 718,101.30

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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.