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Finding the Fourth Proportional to 610,071.53, 914,498.24 and 210,457.40

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Solution

The fourth proportional to 610,071.53, 914,498.24 and 210,457.40 is: 315,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,071.53 : 914,498.24 = 210,457.40 : x
  2. Step 2: Convert to fraction form
    610,071.53/914,498.24 = 210,457.40/x
  3. Step 3: Cross multiply
    610,071.53x = 914,498.24 × 210,457.40
  4. Step 4: Simplify right side
    610,071.53x = 192,462,916,270.20
  5. Step 5: Solve for x
    x = 192,462,916,270.20/610,071.53
  6. Step 6: Final answer
    x = 315,475.99

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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.