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Finding the Fourth Proportional to 346,596.30, 519,894.45 and 305,918.10

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Solution

The fourth proportional to 346,596.30, 519,894.45 and 305,918.10 is: 458,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,596.30 : 519,894.45 = 305,918.10 : x
  2. Step 2: Convert to fraction form
    346,596.30/519,894.45 = 305,918.10/x
  3. Step 3: Cross multiply
    346,596.30x = 519,894.45 × 305,918.10
  4. Step 4: Simplify right side
    346,596.30x = 159,045,122,344.55
  5. Step 5: Solve for x
    x = 159,045,122,344.55/346,596.30
  6. Step 6: Final answer
    x = 458,877.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.