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Finding the Fourth Proportional to 476,104.20, 714,156.30 and 456,421.20

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Solution

The fourth proportional to 476,104.20, 714,156.30 and 456,421.20 is: 684,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,104.20 : 714,156.30 = 456,421.20 : x
  2. Step 2: Convert to fraction form
    476,104.20/714,156.30 = 456,421.20/x
  3. Step 3: Cross multiply
    476,104.20x = 714,156.30 × 456,421.20
  4. Step 4: Simplify right side
    476,104.20x = 325,956,075,433.56
  5. Step 5: Solve for x
    x = 325,956,075,433.56/476,104.20
  6. Step 6: Final answer
    x = 684,631.80

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Why These Related Problems?

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