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Finding the Fourth Proportional to 520,075.80, 780,113.70 and 429,874.20

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Solution

The fourth proportional to 520,075.80, 780,113.70 and 429,874.20 is: 644,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,075.80 : 780,113.70 = 429,874.20 : x
  2. Step 2: Convert to fraction form
    520,075.80/780,113.70 = 429,874.20/x
  3. Step 3: Cross multiply
    520,075.80x = 780,113.70 × 429,874.20
  4. Step 4: Simplify right side
    520,075.80x = 335,350,752,696.54
  5. Step 5: Solve for x
    x = 335,350,752,696.54/520,075.80
  6. Step 6: Final answer
    x = 644,811.30

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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.