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Finding the Fourth Proportional to 429,258.40, 592,403.48 and 238,274.98

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Solution

The fourth proportional to 429,258.40, 592,403.48 and 238,274.98 is: 328,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,258.40 : 592,403.48 = 238,274.98 : x
  2. Step 2: Convert to fraction form
    429,258.40/592,403.48 = 238,274.98/x
  3. Step 3: Cross multiply
    429,258.40x = 592,403.48 × 238,274.98
  4. Step 4: Simplify right side
    429,258.40x = 141,154,927,348.93
  5. Step 5: Solve for x
    x = 141,154,927,348.93/429,258.40
  6. Step 6: Final answer
    x = 328,834.40

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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.