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Finding the Fourth Proportional to 571,210.86, 788,266.08 and 313,102.14

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Solution

The fourth proportional to 571,210.86, 788,266.08 and 313,102.14 is: 432,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,210.86 : 788,266.08 = 313,102.14 : x
  2. Step 2: Convert to fraction form
    571,210.86/788,266.08 = 313,102.14/x
  3. Step 3: Cross multiply
    571,210.86x = 788,266.08 × 313,102.14
  4. Step 4: Simplify right side
    571,210.86x = 246,807,796,537.41
  5. Step 5: Solve for x
    x = 246,807,796,537.41/571,210.86
  6. Step 6: Final answer
    x = 432,078.26

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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.