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Finding the Fourth Proportional to 553,137.80, 828,831.90 and 411,420.20

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Solution

The fourth proportional to 553,137.80, 828,831.90 and 411,420.20 is: 616,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,137.80 : 828,831.90 = 411,420.20 : x
  2. Step 2: Convert to fraction form
    553,137.80/828,831.90 = 411,420.20/x
  3. Step 3: Cross multiply
    553,137.80x = 828,831.90 × 411,420.20
  4. Step 4: Simplify right side
    553,137.80x = 340,998,186,064.38
  5. Step 5: Solve for x
    x = 340,998,186,064.38/553,137.80
  6. Step 6: Final answer
    x = 616,479.63

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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.