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Finding the Fourth Proportional to 507,357.74, 760,375.65 and 282,709.10

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Solution

The fourth proportional to 507,357.74, 760,375.65 and 282,709.10 is: 423,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,357.74 : 760,375.65 = 282,709.10 : x
  2. Step 2: Convert to fraction form
    507,357.74/760,375.65 = 282,709.10/x
  3. Step 3: Cross multiply
    507,357.74x = 760,375.65 × 282,709.10
  4. Step 4: Simplify right side
    507,357.74x = 214,965,118,634.51
  5. Step 5: Solve for x
    x = 214,965,118,634.51/507,357.74
  6. Step 6: Final answer
    x = 423,695.35

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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.