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Finding the Fourth Proportional to 338,666.10, 507,643.54 and 113,948.52

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Solution

The fourth proportional to 338,666.10, 507,643.54 and 113,948.52 is: 170,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,666.10 : 507,643.54 = 113,948.52 : x
  2. Step 2: Convert to fraction form
    338,666.10/507,643.54 = 113,948.52/x
  3. Step 3: Cross multiply
    338,666.10x = 507,643.54 × 113,948.52
  4. Step 4: Simplify right side
    338,666.10x = 57,845,230,070.56
  5. Step 5: Solve for x
    x = 57,845,230,070.56/338,666.10
  6. Step 6: Final answer
    x = 170,803.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.