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Finding the Fourth Proportional to 519,859.94, 778,015.65 and 435,715.16

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Solution

The fourth proportional to 519,859.94, 778,015.65 and 435,715.16 is: 652,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,859.94 : 778,015.65 = 435,715.16 : x
  2. Step 2: Convert to fraction form
    519,859.94/778,015.65 = 435,715.16/x
  3. Step 3: Cross multiply
    519,859.94x = 778,015.65 × 435,715.16
  4. Step 4: Simplify right side
    519,859.94x = 338,993,213,422.25
  5. Step 5: Solve for x
    x = 338,993,213,422.25/519,859.94
  6. Step 6: Final answer
    x = 652,085.66

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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.