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Finding the Fourth Proportional to 647,784.06, 893,937.69 and 357,410.58

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Solution

The fourth proportional to 647,784.06, 893,937.69 and 357,410.58 is: 493,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,784.06 : 893,937.69 = 357,410.58 : x
  2. Step 2: Convert to fraction form
    647,784.06/893,937.69 = 357,410.58/x
  3. Step 3: Cross multiply
    647,784.06x = 893,937.69 × 357,410.58
  4. Step 4: Simplify right side
    647,784.06x = 319,502,788,266.76
  5. Step 5: Solve for x
    x = 319,502,788,266.76/647,784.06
  6. Step 6: Final answer
    x = 493,224.22

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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.