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Finding the Fourth Proportional to 346,654.47, 478,386.33 and 203,416.89

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Solution

The fourth proportional to 346,654.47, 478,386.33 and 203,416.89 is: 280,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,654.47 : 478,386.33 = 203,416.89 : x
  2. Step 2: Convert to fraction form
    346,654.47/478,386.33 = 203,416.89/x
  3. Step 3: Cross multiply
    346,654.47x = 478,386.33 × 203,416.89
  4. Step 4: Simplify right side
    346,654.47x = 97,311,859,467.11
  5. Step 5: Solve for x
    x = 97,311,859,467.11/346,654.47
  6. Step 6: Final answer
    x = 280,717.16

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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.