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Finding the Fourth Proportional to 314,973.88, 472,358.14 and 104,555.32

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Solution

The fourth proportional to 314,973.88, 472,358.14 and 104,555.32 is: 156,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,973.88 : 472,358.14 = 104,555.32 : x
  2. Step 2: Convert to fraction form
    314,973.88/472,358.14 = 104,555.32/x
  3. Step 3: Cross multiply
    314,973.88x = 472,358.14 × 104,555.32
  4. Step 4: Simplify right side
    314,973.88x = 49,387,556,482.30
  5. Step 5: Solve for x
    x = 49,387,556,482.30/314,973.88
  6. Step 6: Final answer
    x = 156,798.90

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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.