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Finding the Fourth Proportional to 527,069.40, 727,376.48 and 297,674.98

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Solution

The fourth proportional to 527,069.40, 727,376.48 and 297,674.98 is: 410,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,069.40 : 727,376.48 = 297,674.98 : x
  2. Step 2: Convert to fraction form
    527,069.40/727,376.48 = 297,674.98/x
  3. Step 3: Cross multiply
    527,069.40x = 727,376.48 × 297,674.98
  4. Step 4: Simplify right side
    527,069.40x = 216,521,779,136.47
  5. Step 5: Solve for x
    x = 216,521,779,136.47/527,069.40
  6. Step 6: Final answer
    x = 410,803.17

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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.