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Finding the Fourth Proportional to 520,091.30, 780,720.15 and 402,284.90

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Solution

The fourth proportional to 520,091.30, 780,720.15 and 402,284.90 is: 603,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,091.30 : 780,720.15 = 402,284.90 : x
  2. Step 2: Convert to fraction form
    520,091.30/780,720.15 = 402,284.90/x
  3. Step 3: Cross multiply
    520,091.30x = 780,720.15 × 402,284.90
  4. Step 4: Simplify right side
    520,091.30x = 314,071,927,470.74
  5. Step 5: Solve for x
    x = 314,071,927,470.74/520,091.30
  6. Step 6: Final answer
    x = 603,878.45

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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.