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Finding the Fourth Proportional to 431,886.48, 596,030.04 and 238,293.24

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Solution

The fourth proportional to 431,886.48, 596,030.04 and 238,293.24 is: 328,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,886.48 : 596,030.04 = 238,293.24 : x
  2. Step 2: Convert to fraction form
    431,886.48/596,030.04 = 238,293.24/x
  3. Step 3: Cross multiply
    431,886.48x = 596,030.04 × 238,293.24
  4. Step 4: Simplify right side
    431,886.48x = 142,029,929,368.93
  5. Step 5: Solve for x
    x = 142,029,929,368.93/431,886.48
  6. Step 6: Final answer
    x = 328,859.40

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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.