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Finding the Fourth Proportional to 570,421.86, 787,191.45 and 312,294.45

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Solution

The fourth proportional to 570,421.86, 787,191.45 and 312,294.45 is: 430,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,421.86 : 787,191.45 = 312,294.45 : x
  2. Step 2: Convert to fraction form
    570,421.86/787,191.45 = 312,294.45/x
  3. Step 3: Cross multiply
    570,421.86x = 787,191.45 × 312,294.45
  4. Step 4: Simplify right side
    570,421.86x = 245,835,520,922.45
  5. Step 5: Solve for x
    x = 245,835,520,922.45/570,421.86
  6. Step 6: Final answer
    x = 430,971.42

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