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Finding the Fourth Proportional to 429,089.91, 592,856.06 and 339,135.63

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Solution

The fourth proportional to 429,089.91, 592,856.06 and 339,135.63 is: 468,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,089.91 : 592,856.06 = 339,135.63 : x
  2. Step 2: Convert to fraction form
    429,089.91/592,856.06 = 339,135.63/x
  3. Step 3: Cross multiply
    429,089.91x = 592,856.06 × 339,135.63
  4. Step 4: Simplify right side
    429,089.91x = 201,058,611,711.74
  5. Step 5: Solve for x
    x = 201,058,611,711.74/429,089.91
  6. Step 6: Final answer
    x = 468,569.89

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1.5x scale

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.