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Finding the Fourth Proportional to 527,980.62, 727,908.38 and 419,445.08

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Solution

The fourth proportional to 527,980.62, 727,908.38 and 419,445.08 is: 578,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,980.62 : 727,908.38 = 419,445.08 : x
  2. Step 2: Convert to fraction form
    527,980.62/727,908.38 = 419,445.08/x
  3. Step 3: Cross multiply
    527,980.62x = 727,908.38 × 419,445.08
  4. Step 4: Simplify right side
    527,980.62x = 305,317,588,681.77
  5. Step 5: Solve for x
    x = 305,317,588,681.77/527,980.62
  6. Step 6: Final answer
    x = 578,274.23

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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.