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Finding the Fourth Proportional to 520,075.20, 778,384.80 and 377,515.20

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Solution

The fourth proportional to 520,075.20, 778,384.80 and 377,515.20 is: 565,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,075.20 : 778,384.80 = 377,515.20 : x
  2. Step 2: Convert to fraction form
    520,075.20/778,384.80 = 377,515.20/x
  3. Step 3: Cross multiply
    520,075.20x = 778,384.80 × 377,515.20
  4. Step 4: Simplify right side
    520,075.20x = 293,852,093,448.96
  5. Step 5: Solve for x
    x = 293,852,093,448.96/520,075.20
  6. Step 6: Final answer
    x = 565,018.47

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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.