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Finding the Fourth Proportional to 570,369.12, 787,099.86 and 315,714.84

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Solution

The fourth proportional to 570,369.12, 787,099.86 and 315,714.84 is: 435,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,369.12 : 787,099.86 = 315,714.84 : x
  2. Step 2: Convert to fraction form
    570,369.12/787,099.86 = 315,714.84/x
  3. Step 3: Cross multiply
    570,369.12x = 787,099.86 × 315,714.84
  4. Step 4: Simplify right side
    570,369.12x = 248,499,106,363.92
  5. Step 5: Solve for x
    x = 248,499,106,363.92/570,369.12
  6. Step 6: Final answer
    x = 435,681.21

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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.