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Finding the Fourth Proportional to 346,501.62, 478,149.72 and 201,294.54

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Solution

The fourth proportional to 346,501.62, 478,149.72 and 201,294.54 is: 277,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,501.62 : 478,149.72 = 201,294.54 : x
  2. Step 2: Convert to fraction form
    346,501.62/478,149.72 = 201,294.54/x
  3. Step 3: Cross multiply
    346,501.62x = 478,149.72 × 201,294.54
  4. Step 4: Simplify right side
    346,501.62x = 96,248,927,938.53
  5. Step 5: Solve for x
    x = 96,248,927,938.53/346,501.62
  6. Step 6: Final answer
    x = 277,773.39

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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.