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Finding the Fourth Proportional to 704,148.44, 971,707.74 and 402,323

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Solution

The fourth proportional to 704,148.44, 971,707.74 and 402,323 is: 555,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,148.44 : 971,707.74 = 402,323 : x
  2. Step 2: Convert to fraction form
    704,148.44/971,707.74 = 402,323/x
  3. Step 3: Cross multiply
    704,148.44x = 971,707.74 × 402,323
  4. Step 4: Simplify right side
    704,148.44x = 390,940,373,080.02
  5. Step 5: Solve for x
    x = 390,940,373,080.02/704,148.44
  6. Step 6: Final answer
    x = 555,195.97

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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.