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Finding the Fourth Proportional to 524,075.49, 723,249.88 and 294,704.98

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Solution

The fourth proportional to 524,075.49, 723,249.88 and 294,704.98 is: 406,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,075.49 : 723,249.88 = 294,704.98 : x
  2. Step 2: Convert to fraction form
    524,075.49/723,249.88 = 294,704.98/x
  3. Step 3: Cross multiply
    524,075.49x = 723,249.88 × 294,704.98
  4. Step 4: Simplify right side
    524,075.49x = 213,145,341,420.40
  5. Step 5: Solve for x
    x = 213,145,341,420.40/524,075.49
  6. Step 6: Final answer
    x = 406,707.33

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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.