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Finding the Fourth Proportional to 961,714.72, 1,442,703.32 and 400,618

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Solution

The fourth proportional to 961,714.72, 1,442,703.32 and 400,618 is: 600,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,714.72 : 1,442,703.32 = 400,618 : x
  2. Step 2: Convert to fraction form
    961,714.72/1,442,703.32 = 400,618/x
  3. Step 3: Cross multiply
    961,714.72x = 1,442,703.32 × 400,618
  4. Step 4: Simplify right side
    961,714.72x = 577,972,918,651.76
  5. Step 5: Solve for x
    x = 577,972,918,651.76/961,714.72
  6. Step 6: Final answer
    x = 600,981.67

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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.