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Finding the Fourth Proportional to 648,146.50, 894,442.24 and 357,758.16

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Solution

The fourth proportional to 648,146.50, 894,442.24 and 357,758.16 is: 493,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,146.50 : 894,442.24 = 357,758.16 : x
  2. Step 2: Convert to fraction form
    648,146.50/894,442.24 = 357,758.16/x
  3. Step 3: Cross multiply
    648,146.50x = 894,442.24 × 357,758.16
  4. Step 4: Simplify right side
    648,146.50x = 319,994,010,686.46
  5. Step 5: Solve for x
    x = 319,994,010,686.46/648,146.50
  6. Step 6: Final answer
    x = 493,706.30

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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.