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Finding the Fourth Proportional to 653,840.10, 902,300.13 and 367,360.02

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Solution

The fourth proportional to 653,840.10, 902,300.13 and 367,360.02 is: 506,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,840.10 : 902,300.13 = 367,360.02 : x
  2. Step 2: Convert to fraction form
    653,840.10/902,300.13 = 367,360.02/x
  3. Step 3: Cross multiply
    653,840.10x = 902,300.13 × 367,360.02
  4. Step 4: Simplify right side
    653,840.10x = 331,468,993,802.80
  5. Step 5: Solve for x
    x = 331,468,993,802.80/653,840.10
  6. Step 6: Final answer
    x = 506,957.27

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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.