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Finding the Fourth Proportional to 706,075.20, 1,057,363.20 and 452,966.40

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Solution

The fourth proportional to 706,075.20, 1,057,363.20 and 452,966.40 is: 678,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,075.20 : 1,057,363.20 = 452,966.40 : x
  2. Step 2: Convert to fraction form
    706,075.20/1,057,363.20 = 452,966.40/x
  3. Step 3: Cross multiply
    706,075.20x = 1,057,363.20 × 452,966.40
  4. Step 4: Simplify right side
    706,075.20x = 478,950,002,196.48
  5. Step 5: Solve for x
    x = 478,950,002,196.48/706,075.20
  6. Step 6: Final answer
    x = 678,327.18

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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.