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Finding the Fourth Proportional to 470,701.80, 706,052.70 and 328,984.20

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Solution

The fourth proportional to 470,701.80, 706,052.70 and 328,984.20 is: 493,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,701.80 : 706,052.70 = 328,984.20 : x
  2. Step 2: Convert to fraction form
    470,701.80/706,052.70 = 328,984.20/x
  3. Step 3: Cross multiply
    470,701.80x = 706,052.70 × 328,984.20
  4. Step 4: Simplify right side
    470,701.80x = 232,280,182,667.34
  5. Step 5: Solve for x
    x = 232,280,182,667.34/470,701.80
  6. Step 6: Final answer
    x = 493,476.30

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Similar ratio
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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.