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Finding the Fourth Proportional to 706,497.78, 974,973.47 and 384,210.93

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Solution

The fourth proportional to 706,497.78, 974,973.47 and 384,210.93 is: 530,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,497.78 : 974,973.47 = 384,210.93 : x
  2. Step 2: Convert to fraction form
    706,497.78/974,973.47 = 384,210.93/x
  3. Step 3: Cross multiply
    706,497.78x = 974,973.47 × 384,210.93
  4. Step 4: Simplify right side
    706,497.78x = 374,595,461,712.97
  5. Step 5: Solve for x
    x = 374,595,461,712.97/706,497.78
  6. Step 6: Final answer
    x = 530,214.63

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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.