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Finding the Fourth Proportional to 527,969.80, 727,893.49 and 419,434.25

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Solution

The fourth proportional to 527,969.80, 727,893.49 and 419,434.25 is: 578,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,969.80 : 727,893.49 = 419,434.25 : x
  2. Step 2: Convert to fraction form
    527,969.80/727,893.49 = 419,434.25/x
  3. Step 3: Cross multiply
    527,969.80x = 727,893.49 × 419,434.25
  4. Step 4: Simplify right side
    527,969.80x = 305,303,460,058.03
  5. Step 5: Solve for x
    x = 305,303,460,058.03/527,969.80
  6. Step 6: Final answer
    x = 578,259.32

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1.5x scale

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.