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Finding the Fourth Proportional to 375,686.94, 518,501.14 and 232,493.10

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Solution

The fourth proportional to 375,686.94, 518,501.14 and 232,493.10 is: 320,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,686.94 : 518,501.14 = 232,493.10 : x
  2. Step 2: Convert to fraction form
    375,686.94/518,501.14 = 232,493.10/x
  3. Step 3: Cross multiply
    375,686.94x = 518,501.14 × 232,493.10
  4. Step 4: Simplify right side
    375,686.94x = 120,547,937,392.13
  5. Step 5: Solve for x
    x = 120,547,937,392.13/375,686.94
  6. Step 6: Final answer
    x = 320,873.38

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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.