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Finding the Fourth Proportional to 702,075.84, 1,053,223.05 and 228,651.06

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Solution

The fourth proportional to 702,075.84, 1,053,223.05 and 228,651.06 is: 343,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,075.84 : 1,053,223.05 = 228,651.06 : x
  2. Step 2: Convert to fraction form
    702,075.84/1,053,223.05 = 228,651.06/x
  3. Step 3: Cross multiply
    702,075.84x = 1,053,223.05 × 228,651.06
  4. Step 4: Simplify right side
    702,075.84x = 240,820,566,798.93
  5. Step 5: Solve for x
    x = 240,820,566,798.93/702,075.84
  6. Step 6: Final answer
    x = 343,012.18

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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.