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Finding the Fourth Proportional to 473,071.36, 709,920.44 and 259,988.08

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Solution

The fourth proportional to 473,071.36, 709,920.44 and 259,988.08 is: 390,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,071.36 : 709,920.44 = 259,988.08 : x
  2. Step 2: Convert to fraction form
    473,071.36/709,920.44 = 259,988.08/x
  3. Step 3: Cross multiply
    473,071.36x = 709,920.44 × 259,988.08
  4. Step 4: Simplify right side
    473,071.36x = 184,570,852,148.36
  5. Step 5: Solve for x
    x = 184,570,852,148.36/473,071.36
  6. Step 6: Final answer
    x = 390,154.36

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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.