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Finding the Fourth Proportional to 310,701.93, 465,729.71 and 210,870.24

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Solution

The fourth proportional to 310,701.93, 465,729.71 and 210,870.24 is: 316,086.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,701.93 : 465,729.71 = 210,870.24 : x
  2. Step 2: Convert to fraction form
    310,701.93/465,729.71 = 210,870.24/x
  3. Step 3: Cross multiply
    310,701.93x = 465,729.71 × 210,870.24
  4. Step 4: Simplify right side
    310,701.93x = 98,208,534,668.48
  5. Step 5: Solve for x
    x = 98,208,534,668.48/310,701.93
  6. Step 6: Final answer
    x = 316,086.01

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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.