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Finding the Fourth Proportional to 473,068.36, 709,915.94 and 259,985.08

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Solution

The fourth proportional to 473,068.36, 709,915.94 and 259,985.08 is: 390,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,068.36 : 709,915.94 = 259,985.08 : x
  2. Step 2: Convert to fraction form
    473,068.36/709,915.94 = 259,985.08/x
  3. Step 3: Cross multiply
    473,068.36x = 709,915.94 × 259,985.08
  4. Step 4: Simplify right side
    473,068.36x = 184,567,551,329.35
  5. Step 5: Solve for x
    x = 184,567,551,329.35/473,068.36
  6. Step 6: Final answer
    x = 390,149.86

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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.