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Finding the Fourth Proportional to 584,964, 877,450.56 and 141,732

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Solution

The fourth proportional to 584,964, 877,450.56 and 141,732 is: 212,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,964 : 877,450.56 = 141,732 : x
  2. Step 2: Convert to fraction form
    584,964/877,450.56 = 141,732/x
  3. Step 3: Cross multiply
    584,964x = 877,450.56 × 141,732
  4. Step 4: Simplify right side
    584,964x = 124,362,822,769.92
  5. Step 5: Solve for x
    x = 124,362,822,769.92/584,964
  6. Step 6: Final answer
    x = 212,599.10

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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.