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Finding the Fourth Proportional to 367,495.59, 505,970.80 and 313,564.17

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Solution

The fourth proportional to 367,495.59, 505,970.80 and 313,564.17 is: 431,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,495.59 : 505,970.80 = 313,564.17 : x
  2. Step 2: Convert to fraction form
    367,495.59/505,970.80 = 313,564.17/x
  3. Step 3: Cross multiply
    367,495.59x = 505,970.80 × 313,564.17
  4. Step 4: Simplify right side
    367,495.59x = 158,654,313,946.24
  5. Step 5: Solve for x
    x = 158,654,313,946.24/367,495.59
  6. Step 6: Final answer
    x = 431,717.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.