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Finding the Fourth Proportional to 464,574.90, 696,391.65 and 314,830.20

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Solution

The fourth proportional to 464,574.90, 696,391.65 and 314,830.20 is: 471,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,574.90 : 696,391.65 = 314,830.20 : x
  2. Step 2: Convert to fraction form
    464,574.90/696,391.65 = 314,830.20/x
  3. Step 3: Cross multiply
    464,574.90x = 696,391.65 × 314,830.20
  4. Step 4: Simplify right side
    464,574.90x = 219,245,122,447.83
  5. Step 5: Solve for x
    x = 219,245,122,447.83/464,574.90
  6. Step 6: Final answer
    x = 471,926.32

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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.