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Finding the Fourth Proportional to 569,699.24, 854,547.78 and 214,792.88

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Solution

The fourth proportional to 569,699.24, 854,547.78 and 214,792.88 is: 322,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,699.24 : 854,547.78 = 214,792.88 : x
  2. Step 2: Convert to fraction form
    569,699.24/854,547.78 = 214,792.88/x
  3. Step 3: Cross multiply
    569,699.24x = 854,547.78 × 214,792.88
  4. Step 4: Simplify right side
    569,699.24x = 183,550,778,763.81
  5. Step 5: Solve for x
    x = 183,550,778,763.81/569,699.24
  6. Step 6: Final answer
    x = 322,188.91

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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.