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Finding the Fourth Proportional to 294,530.46, 406,453.59 and 172,094.10

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Solution

The fourth proportional to 294,530.46, 406,453.59 and 172,094.10 is: 237,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,530.46 : 406,453.59 = 172,094.10 : x
  2. Step 2: Convert to fraction form
    294,530.46/406,453.59 = 172,094.10/x
  3. Step 3: Cross multiply
    294,530.46x = 406,453.59 × 172,094.10
  4. Step 4: Simplify right side
    294,530.46x = 69,948,264,762.82
  5. Step 5: Solve for x
    x = 69,948,264,762.82/294,530.46
  6. Step 6: Final answer
    x = 237,490.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.