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Finding the Fourth Proportional to 346,615.68, 478,073.74 and 219,168.25

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Solution

The fourth proportional to 346,615.68, 478,073.74 and 219,168.25 is: 302,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,615.68 : 478,073.74 = 219,168.25 : x
  2. Step 2: Convert to fraction form
    346,615.68/478,073.74 = 219,168.25/x
  3. Step 3: Cross multiply
    346,615.68x = 478,073.74 × 219,168.25
  4. Step 4: Simplify right side
    346,615.68x = 104,778,584,966.76
  5. Step 5: Solve for x
    x = 104,778,584,966.76/346,615.68
  6. Step 6: Final answer
    x = 302,290.38

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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.