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Finding the Fourth Proportional to 346,771.04, 478,468.80 and 201,603.20

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Solution

The fourth proportional to 346,771.04, 478,468.80 and 201,603.20 is: 278,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,771.04 : 478,468.80 = 201,603.20 : x
  2. Step 2: Convert to fraction form
    346,771.04/478,468.80 = 201,603.20/x
  3. Step 3: Cross multiply
    346,771.04x = 478,468.80 × 201,603.20
  4. Step 4: Simplify right side
    346,771.04x = 96,460,841,180.16
  5. Step 5: Solve for x
    x = 96,460,841,180.16/346,771.04
  6. Step 6: Final answer
    x = 278,168.68

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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.