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Finding the Fourth Proportional to 319,212.80, 478,819.20 and 314,547.20

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Solution

The fourth proportional to 319,212.80, 478,819.20 and 314,547.20 is: 471,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,212.80 : 478,819.20 = 314,547.20 : x
  2. Step 2: Convert to fraction form
    319,212.80/478,819.20 = 314,547.20/x
  3. Step 3: Cross multiply
    319,212.80x = 478,819.20 × 314,547.20
  4. Step 4: Simplify right side
    319,212.80x = 150,611,238,666.24
  5. Step 5: Solve for x
    x = 150,611,238,666.24/319,212.80
  6. Step 6: Final answer
    x = 471,820.80

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1.5x scale

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.