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Finding the Fourth Proportional to 493,006.40, 738,197.40 and 314,547.20

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Solution

The fourth proportional to 493,006.40, 738,197.40 and 314,547.20 is: 470,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,006.40 : 738,197.40 = 314,547.20 : x
  2. Step 2: Convert to fraction form
    493,006.40/738,197.40 = 314,547.20/x
  3. Step 3: Cross multiply
    493,006.40x = 738,197.40 × 314,547.20
  4. Step 4: Simplify right side
    493,006.40x = 232,197,925,217.28
  5. Step 5: Solve for x
    x = 232,197,925,217.28/493,006.40
  6. Step 6: Final answer
    x = 470,983.59

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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.