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Finding the Fourth Proportional to 700,252.32, 966,293.64 and 413,718.06

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Solution

The fourth proportional to 700,252.32, 966,293.64 and 413,718.06 is: 570,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,252.32 : 966,293.64 = 413,718.06 : x
  2. Step 2: Convert to fraction form
    700,252.32/966,293.64 = 413,718.06/x
  3. Step 3: Cross multiply
    700,252.32x = 966,293.64 × 413,718.06
  4. Step 4: Simplify right side
    700,252.32x = 399,773,130,131.14
  5. Step 5: Solve for x
    x = 399,773,130,131.14/700,252.32
  6. Step 6: Final answer
    x = 570,898.69

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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.