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Finding the Fourth Proportional to 584,984, 877,480.80 and 141,752

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Solution

The fourth proportional to 584,984, 877,480.80 and 141,752 is: 212,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,984 : 877,480.80 = 141,752 : x
  2. Step 2: Convert to fraction form
    584,984/877,480.80 = 141,752/x
  3. Step 3: Cross multiply
    584,984x = 877,480.80 × 141,752
  4. Step 4: Simplify right side
    584,984x = 124,384,658,361.60
  5. Step 5: Solve for x
    x = 124,384,658,361.60/584,984
  6. Step 6: Final answer
    x = 212,629.16

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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.