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Finding the Fourth Proportional to 609,447.84, 841,137.12 and 364,416

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Solution

The fourth proportional to 609,447.84, 841,137.12 and 364,416 is: 502,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,447.84 : 841,137.12 = 364,416 : x
  2. Step 2: Convert to fraction form
    609,447.84/841,137.12 = 364,416/x
  3. Step 3: Cross multiply
    609,447.84x = 841,137.12 × 364,416
  4. Step 4: Simplify right side
    609,447.84x = 306,523,824,721.92
  5. Step 5: Solve for x
    x = 306,523,824,721.92/609,447.84
  6. Step 6: Final answer
    x = 502,953.34

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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.