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Finding the Fourth Proportional to 527,733.61, 728,274.89 and 286,016.12

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Solution

The fourth proportional to 527,733.61, 728,274.89 and 286,016.12 is: 394,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,733.61 : 728,274.89 = 286,016.12 : x
  2. Step 2: Convert to fraction form
    527,733.61/728,274.89 = 286,016.12/x
  3. Step 3: Cross multiply
    527,733.61x = 728,274.89 × 286,016.12
  4. Step 4: Simplify right side
    527,733.61x = 208,298,353,259.77
  5. Step 5: Solve for x
    x = 208,298,353,259.77/527,733.61
  6. Step 6: Final answer
    x = 394,703.60

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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.