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Finding the Fourth Proportional to 464,570.90, 696,385.65 and 314,826.20

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Solution

The fourth proportional to 464,570.90, 696,385.65 and 314,826.20 is: 471,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,570.90 : 696,385.65 = 314,826.20 : x
  2. Step 2: Convert to fraction form
    464,570.90/696,385.65 = 314,826.20/x
  3. Step 3: Cross multiply
    464,570.90x = 696,385.65 × 314,826.20
  4. Step 4: Simplify right side
    464,570.90x = 219,240,447,924.03
  5. Step 5: Solve for x
    x = 219,240,447,924.03/464,570.90
  6. Step 6: Final answer
    x = 471,920.32

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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.