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Finding the Fourth Proportional to 294,254.64, 406,038.42 and 173,388.06

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Solution

The fourth proportional to 294,254.64, 406,038.42 and 173,388.06 is: 239,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,254.64 : 406,038.42 = 173,388.06 : x
  2. Step 2: Convert to fraction form
    294,254.64/406,038.42 = 173,388.06/x
  3. Step 3: Cross multiply
    294,254.64x = 406,038.42 × 173,388.06
  4. Step 4: Simplify right side
    294,254.64x = 70,402,213,929.27
  5. Step 5: Solve for x
    x = 70,402,213,929.27/294,254.64
  6. Step 6: Final answer
    x = 239,256.09

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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.