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Finding the Fourth Proportional to 519,513.85, 716,922.27 and 290,075.05

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Solution

The fourth proportional to 519,513.85, 716,922.27 and 290,075.05 is: 400,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,513.85 : 716,922.27 = 290,075.05 : x
  2. Step 2: Convert to fraction form
    519,513.85/716,922.27 = 290,075.05/x
  3. Step 3: Cross multiply
    519,513.85x = 716,922.27 × 290,075.05
  4. Step 4: Simplify right side
    519,513.85x = 207,961,263,316.36
  5. Step 5: Solve for x
    x = 207,961,263,316.36/519,513.85
  6. Step 6: Final answer
    x = 400,299.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.