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Finding the Fourth Proportional to 315,802.27, 472,854.57 and 240,564.01

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Solution

The fourth proportional to 315,802.27, 472,854.57 and 240,564.01 is: 360,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,802.27 : 472,854.57 = 240,564.01 : x
  2. Step 2: Convert to fraction form
    315,802.27/472,854.57 = 240,564.01/x
  3. Step 3: Cross multiply
    315,802.27x = 472,854.57 × 240,564.01
  4. Step 4: Simplify right side
    315,802.27x = 113,751,791,506.03
  5. Step 5: Solve for x
    x = 113,751,791,506.03/315,802.27
  6. Step 6: Final answer
    x = 360,199.41

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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.