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Finding the Fourth Proportional to 470,753.84, 649,491 and 292,009.52

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Solution

The fourth proportional to 470,753.84, 649,491 and 292,009.52 is: 402,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,753.84 : 649,491 = 292,009.52 : x
  2. Step 2: Convert to fraction form
    470,753.84/649,491 = 292,009.52/x
  3. Step 3: Cross multiply
    470,753.84x = 649,491 × 292,009.52
  4. Step 4: Simplify right side
    470,753.84x = 189,657,555,154.32
  5. Step 5: Solve for x
    x = 189,657,555,154.32/470,753.84
  6. Step 6: Final answer
    x = 402,880.53

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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.