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Finding the Fourth Proportional to 346,538.84, 478,225.86 and 203,302.04

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Solution

The fourth proportional to 346,538.84, 478,225.86 and 203,302.04 is: 280,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,538.84 : 478,225.86 = 203,302.04 : x
  2. Step 2: Convert to fraction form
    346,538.84/478,225.86 = 203,302.04/x
  3. Step 3: Cross multiply
    346,538.84x = 478,225.86 × 203,302.04
  4. Step 4: Simplify right side
    346,538.84x = 97,224,292,918.75
  5. Step 5: Solve for x
    x = 97,224,292,918.75/346,538.84
  6. Step 6: Final answer
    x = 280,558.14

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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.