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Finding the Fourth Proportional to 577,308.57, 865,881.45 and 198,223.31

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Solution

The fourth proportional to 577,308.57, 865,881.45 and 198,223.31 is: 297,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,308.57 : 865,881.45 = 198,223.31 : x
  2. Step 2: Convert to fraction form
    577,308.57/865,881.45 = 198,223.31/x
  3. Step 3: Cross multiply
    577,308.57x = 865,881.45 × 198,223.31
  4. Step 4: Simplify right side
    577,308.57x = 171,637,885,417.45
  5. Step 5: Solve for x
    x = 171,637,885,417.45/577,308.57
  6. Step 6: Final answer
    x = 297,307.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.