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Finding the Fourth Proportional to 514,477.90, 770,404.65 and 409,501.90

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Solution

The fourth proportional to 514,477.90, 770,404.65 and 409,501.90 is: 613,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,477.90 : 770,404.65 = 409,501.90 : x
  2. Step 2: Convert to fraction form
    514,477.90/770,404.65 = 409,501.90/x
  3. Step 3: Cross multiply
    514,477.90x = 770,404.65 × 409,501.90
  4. Step 4: Simplify right side
    514,477.90x = 315,482,167,943.84
  5. Step 5: Solve for x
    x = 315,482,167,943.84/514,477.90
  6. Step 6: Final answer
    x = 613,208.40

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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.