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Finding the Fourth Proportional to 429,180.84, 592,000.10 and 276,417

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Solution

The fourth proportional to 429,180.84, 592,000.10 and 276,417 is: 381,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,180.84 : 592,000.10 = 276,417 : x
  2. Step 2: Convert to fraction form
    429,180.84/592,000.10 = 276,417/x
  3. Step 3: Cross multiply
    429,180.84x = 592,000.10 × 276,417
  4. Step 4: Simplify right side
    429,180.84x = 163,638,891,641.70
  5. Step 5: Solve for x
    x = 163,638,891,641.70/429,180.84
  6. Step 6: Final answer
    x = 381,281.91

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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.