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Finding the Fourth Proportional to 448,075.80, 672,113.70 and 413,861.40

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Solution

The fourth proportional to 448,075.80, 672,113.70 and 413,861.40 is: 620,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,075.80 : 672,113.70 = 413,861.40 : x
  2. Step 2: Convert to fraction form
    448,075.80/672,113.70 = 413,861.40/x
  3. Step 3: Cross multiply
    448,075.80x = 672,113.70 × 413,861.40
  4. Step 4: Simplify right side
    448,075.80x = 278,161,916,841.18
  5. Step 5: Solve for x
    x = 278,161,916,841.18/448,075.80
  6. Step 6: Final answer
    x = 620,792.10

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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.