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Finding the Fourth Proportional to 506,142.32, 698,484.70 and 302,211.06

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Solution

The fourth proportional to 506,142.32, 698,484.70 and 302,211.06 is: 417,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,142.32 : 698,484.70 = 302,211.06 : x
  2. Step 2: Convert to fraction form
    506,142.32/698,484.70 = 302,211.06/x
  3. Step 3: Cross multiply
    506,142.32x = 698,484.70 × 302,211.06
  4. Step 4: Simplify right side
    506,142.32x = 211,089,801,580.78
  5. Step 5: Solve for x
    x = 211,089,801,580.78/506,142.32
  6. Step 6: Final answer
    x = 417,056.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.