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Finding the Fourth Proportional to 386,807.94, 577,564.70 and 346,567.14

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Solution

The fourth proportional to 386,807.94, 577,564.70 and 346,567.14 is: 517,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,807.94 : 577,564.70 = 346,567.14 : x
  2. Step 2: Convert to fraction form
    386,807.94/577,564.70 = 346,567.14/x
  3. Step 3: Cross multiply
    386,807.94x = 577,564.70 × 346,567.14
  4. Step 4: Simplify right side
    386,807.94x = 200,164,944,511.12
  5. Step 5: Solve for x
    x = 200,164,944,511.12/386,807.94
  6. Step 6: Final answer
    x = 517,478.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.