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Finding the Fourth Proportional to 431,054.16, 594,854.58 and 249,871.23

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Solution

The fourth proportional to 431,054.16, 594,854.58 and 249,871.23 is: 344,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,054.16 : 594,854.58 = 249,871.23 : x
  2. Step 2: Convert to fraction form
    431,054.16/594,854.58 = 249,871.23/x
  3. Step 3: Cross multiply
    431,054.16x = 594,854.58 × 249,871.23
  4. Step 4: Simplify right side
    431,054.16x = 148,637,046,512.75
  5. Step 5: Solve for x
    x = 148,637,046,512.75/431,054.16
  6. Step 6: Final answer
    x = 344,822.21

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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.