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Finding the Fourth Proportional to 805,714.40, 1,209,446.40 and 506,532.80

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Solution

The fourth proportional to 805,714.40, 1,209,446.40 and 506,532.80 is: 760,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,714.40 : 1,209,446.40 = 506,532.80 : x
  2. Step 2: Convert to fraction form
    805,714.40/1,209,446.40 = 506,532.80/x
  3. Step 3: Cross multiply
    805,714.40x = 1,209,446.40 × 506,532.80
  4. Step 4: Simplify right side
    805,714.40x = 612,624,271,441.92
  5. Step 5: Solve for x
    x = 612,624,271,441.92/805,714.40
  6. Step 6: Final answer
    x = 760,349.17

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