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Finding the Fourth Proportional to 519,075.30, 778,831.65 and 282,587.70

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Solution

The fourth proportional to 519,075.30, 778,831.65 and 282,587.70 is: 424,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,075.30 : 778,831.65 = 282,587.70 : x
  2. Step 2: Convert to fraction form
    519,075.30/778,831.65 = 282,587.70/x
  3. Step 3: Cross multiply
    519,075.30x = 778,831.65 × 282,587.70
  4. Step 4: Simplify right side
    519,075.30x = 220,088,244,660.71
  5. Step 5: Solve for x
    x = 220,088,244,660.71/519,075.30
  6. Step 6: Final answer
    x = 424,000.61

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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.