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Finding the Fourth Proportional to 520,100.40, 778,838.40 and 415,124.40

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Solution

The fourth proportional to 520,100.40, 778,838.40 and 415,124.40 is: 621,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,100.40 : 778,838.40 = 415,124.40 : x
  2. Step 2: Convert to fraction form
    520,100.40/778,838.40 = 415,124.40/x
  3. Step 3: Cross multiply
    520,100.40x = 778,838.40 × 415,124.40
  4. Step 4: Simplify right side
    520,100.40x = 323,314,823,496.96
  5. Step 5: Solve for x
    x = 323,314,823,496.96/520,100.40
  6. Step 6: Final answer
    x = 621,639.25

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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.