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Finding the Fourth Proportional to 570,829.50, 787,744.71 and 316,197.18

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Solution

The fourth proportional to 570,829.50, 787,744.71 and 316,197.18 is: 436,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,829.50 : 787,744.71 = 316,197.18 : x
  2. Step 2: Convert to fraction form
    570,829.50/787,744.71 = 316,197.18/x
  3. Step 3: Cross multiply
    570,829.50x = 787,744.71 × 316,197.18
  4. Step 4: Simplify right side
    570,829.50x = 249,082,655,861.92
  5. Step 5: Solve for x
    x = 249,082,655,861.92/570,829.50
  6. Step 6: Final answer
    x = 436,352.11

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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.