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Finding the Fourth Proportional to 464,574.40, 696,390.90 and 314,829.70

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Solution

The fourth proportional to 464,574.40, 696,390.90 and 314,829.70 is: 471,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,574.40 : 696,390.90 = 314,829.70 : x
  2. Step 2: Convert to fraction form
    464,574.40/696,390.90 = 314,829.70/x
  3. Step 3: Cross multiply
    464,574.40x = 696,390.90 × 314,829.70
  4. Step 4: Simplify right side
    464,574.40x = 219,244,538,129.73
  5. Step 5: Solve for x
    x = 219,244,538,129.73/464,574.40
  6. Step 6: Final answer
    x = 471,925.57

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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.