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Finding the Fourth Proportional to 586,563.69, 880,178.38 and 316,688.24

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Solution

The fourth proportional to 586,563.69, 880,178.38 and 316,688.24 is: 475,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,563.69 : 880,178.38 = 316,688.24 : x
  2. Step 2: Convert to fraction form
    586,563.69/880,178.38 = 316,688.24/x
  3. Step 3: Cross multiply
    586,563.69x = 880,178.38 × 316,688.24
  4. Step 4: Simplify right side
    586,563.69x = 278,742,136,261.85
  5. Step 5: Solve for x
    x = 278,742,136,261.85/586,563.69
  6. Step 6: Final answer
    x = 475,212.05

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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.