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Finding the Fourth Proportional to 497,953.89, 687,173.13 and 283,094.01

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Solution

The fourth proportional to 497,953.89, 687,173.13 and 283,094.01 is: 390,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,953.89 : 687,173.13 = 283,094.01 : x
  2. Step 2: Convert to fraction form
    497,953.89/687,173.13 = 283,094.01/x
  3. Step 3: Cross multiply
    497,953.89x = 687,173.13 × 283,094.01
  4. Step 4: Simplify right side
    497,953.89x = 194,534,596,935.95
  5. Step 5: Solve for x
    x = 194,534,596,935.95/497,953.89
  6. Step 6: Final answer
    x = 390,667.89

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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.