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Finding the Fourth Proportional to 519,424.20, 716,802.66 and 289,968.12

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Solution

The fourth proportional to 519,424.20, 716,802.66 and 289,968.12 is: 400,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,424.20 : 716,802.66 = 289,968.12 : x
  2. Step 2: Convert to fraction form
    519,424.20/716,802.66 = 289,968.12/x
  3. Step 3: Cross multiply
    519,424.20x = 716,802.66 × 289,968.12
  4. Step 4: Simplify right side
    519,424.20x = 207,849,919,731.20
  5. Step 5: Solve for x
    x = 207,849,919,731.20/519,424.20
  6. Step 6: Final answer
    x = 400,154.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.