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Finding the Fourth Proportional to 469,013.53, 700,087.94 and 402,878.65

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Solution

The fourth proportional to 469,013.53, 700,087.94 and 402,878.65 is: 601,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,013.53 : 700,087.94 = 402,878.65 : x
  2. Step 2: Convert to fraction form
    469,013.53/700,087.94 = 402,878.65/x
  3. Step 3: Cross multiply
    469,013.53x = 700,087.94 × 402,878.65
  4. Step 4: Simplify right side
    469,013.53x = 282,050,484,148.48
  5. Step 5: Solve for x
    x = 282,050,484,148.48/469,013.53
  6. Step 6: Final answer
    x = 601,369.61

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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.