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Finding the Fourth Proportional to 475,341.96, 712,532.88 and 297,973.30

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Solution

The fourth proportional to 475,341.96, 712,532.88 and 297,973.30 is: 446,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,341.96 : 712,532.88 = 297,973.30 : x
  2. Step 2: Convert to fraction form
    475,341.96/712,532.88 = 297,973.30/x
  3. Step 3: Cross multiply
    475,341.96x = 712,532.88 × 297,973.30
  4. Step 4: Simplify right side
    475,341.96x = 212,315,773,612.10
  5. Step 5: Solve for x
    x = 212,315,773,612.10/475,341.96
  6. Step 6: Final answer
    x = 446,659.02

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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.