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Finding the Fourth Proportional to 507,284.88, 760,985.64 and 296,924.64

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Solution

The fourth proportional to 507,284.88, 760,985.64 and 296,924.64 is: 445,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,284.88 : 760,985.64 = 296,924.64 : x
  2. Step 2: Convert to fraction form
    507,284.88/760,985.64 = 296,924.64/x
  3. Step 3: Cross multiply
    507,284.88x = 760,985.64 × 296,924.64
  4. Step 4: Simplify right side
    507,284.88x = 225,955,387,202.17
  5. Step 5: Solve for x
    x = 225,955,387,202.17/507,284.88
  6. Step 6: Final answer
    x = 445,421.10

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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.