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Finding the Fourth Proportional to 570,859, 787,785.48 and 316,226.68

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Solution

The fourth proportional to 570,859, 787,785.48 and 316,226.68 is: 436,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,859 : 787,785.48 = 316,226.68 : x
  2. Step 2: Convert to fraction form
    570,859/787,785.48 = 316,226.68/x
  3. Step 3: Cross multiply
    570,859x = 787,785.48 × 316,226.68
  4. Step 4: Simplify right side
    570,859x = 249,118,786,892.61
  5. Step 5: Solve for x
    x = 249,118,786,892.61/570,859
  6. Step 6: Final answer
    x = 436,392.85

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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.