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Finding the Fourth Proportional to 506,152.60, 698,457.36 and 291,258

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Solution

The fourth proportional to 506,152.60, 698,457.36 and 291,258 is: 401,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,152.60 : 698,457.36 = 291,258 : x
  2. Step 2: Convert to fraction form
    506,152.60/698,457.36 = 291,258/x
  3. Step 3: Cross multiply
    506,152.60x = 698,457.36 × 291,258
  4. Step 4: Simplify right side
    506,152.60x = 203,431,293,758.88
  5. Step 5: Solve for x
    x = 203,431,293,758.88/506,152.60
  6. Step 6: Final answer
    x = 401,916.92

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Why These Related Problems?

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