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Finding the Fourth Proportional to 698,081.84, 963,075.90 and 403,677.15

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Solution

The fourth proportional to 698,081.84, 963,075.90 and 403,677.15 is: 556,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,081.84 : 963,075.90 = 403,677.15 : x
  2. Step 2: Convert to fraction form
    698,081.84/963,075.90 = 403,677.15/x
  3. Step 3: Cross multiply
    698,081.84x = 963,075.90 × 403,677.15
  4. Step 4: Simplify right side
    698,081.84x = 388,771,734,545.69
  5. Step 5: Solve for x
    x = 388,771,734,545.69/698,081.84
  6. Step 6: Final answer
    x = 556,914.27

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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.