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Finding the Fourth Proportional to 570,470.89, 787,219.86 and 312,298.38

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Solution

The fourth proportional to 570,470.89, 787,219.86 and 312,298.38 is: 430,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,470.89 : 787,219.86 = 312,298.38 : x
  2. Step 2: Convert to fraction form
    570,470.89/787,219.86 = 312,298.38/x
  3. Step 3: Cross multiply
    570,470.89x = 787,219.86 × 312,298.38
  4. Step 4: Simplify right side
    570,470.89x = 245,847,486,981.83
  5. Step 5: Solve for x
    x = 245,847,486,981.83/570,470.89
  6. Step 6: Final answer
    x = 430,955.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.