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Finding the Fourth Proportional to 510,075.90, 765,113.85 and 478,583.10

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Solution

The fourth proportional to 510,075.90, 765,113.85 and 478,583.10 is: 717,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,075.90 : 765,113.85 = 478,583.10 : x
  2. Step 2: Convert to fraction form
    510,075.90/765,113.85 = 478,583.10/x
  3. Step 3: Cross multiply
    510,075.90x = 765,113.85 × 478,583.10
  4. Step 4: Simplify right side
    510,075.90x = 366,170,558,185.94
  5. Step 5: Solve for x
    x = 366,170,558,185.94/510,075.90
  6. Step 6: Final answer
    x = 717,874.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.