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Finding the Fourth Proportional to 707,120.94, 975,808.18 and 384,824.10

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Solution

The fourth proportional to 707,120.94, 975,808.18 and 384,824.10 is: 531,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,120.94 : 975,808.18 = 384,824.10 : x
  2. Step 2: Convert to fraction form
    707,120.94/975,808.18 = 384,824.10/x
  3. Step 3: Cross multiply
    707,120.94x = 975,808.18 × 384,824.10
  4. Step 4: Simplify right side
    707,120.94x = 375,514,504,641.14
  5. Step 5: Solve for x
    x = 375,514,504,641.14/707,120.94
  6. Step 6: Final answer
    x = 531,047.07

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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.