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Finding the Fourth Proportional to 585,184, 877,776.36 and 141,952

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Solution

The fourth proportional to 585,184, 877,776.36 and 141,952 is: 212,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,184 : 877,776.36 = 141,952 : x
  2. Step 2: Convert to fraction form
    585,184/877,776.36 = 141,952/x
  3. Step 3: Cross multiply
    585,184x = 877,776.36 × 141,952
  4. Step 4: Simplify right side
    585,184x = 124,602,109,854.72
  5. Step 5: Solve for x
    x = 124,602,109,854.72/585,184
  6. Step 6: Final answer
    x = 212,928.09

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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.