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Finding the Fourth Proportional to 292,307.10, 438,460.65 and 232,820.70

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Solution

The fourth proportional to 292,307.10, 438,460.65 and 232,820.70 is: 349,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,307.10 : 438,460.65 = 232,820.70 : x
  2. Step 2: Convert to fraction form
    292,307.10/438,460.65 = 232,820.70/x
  3. Step 3: Cross multiply
    292,307.10x = 438,460.65 × 232,820.70
  4. Step 4: Simplify right side
    292,307.10x = 102,082,715,455.46
  5. Step 5: Solve for x
    x = 102,082,715,455.46/292,307.10
  6. Step 6: Final answer
    x = 349,231.05

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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.