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Finding the Fourth Proportional to 524,855.94, 783,188.70 and 468,307.14

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Solution

The fourth proportional to 524,855.94, 783,188.70 and 468,307.14 is: 698,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,855.94 : 783,188.70 = 468,307.14 : x
  2. Step 2: Convert to fraction form
    524,855.94/783,188.70 = 468,307.14/x
  3. Step 3: Cross multiply
    524,855.94x = 783,188.70 × 468,307.14
  4. Step 4: Simplify right side
    524,855.94x = 366,772,860,177.32
  5. Step 5: Solve for x
    x = 366,772,860,177.32/524,855.94
  6. Step 6: Final answer
    x = 698,806.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.