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Finding the Fourth Proportional to 506,088.33, 698,477.93 and 291,186.89

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Solution

The fourth proportional to 506,088.33, 698,477.93 and 291,186.89 is: 401,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,088.33 : 698,477.93 = 291,186.89 : x
  2. Step 2: Convert to fraction form
    506,088.33/698,477.93 = 291,186.89/x
  3. Step 3: Cross multiply
    506,088.33x = 698,477.93 × 291,186.89
  4. Step 4: Simplify right side
    506,088.33x = 203,387,611,222.01
  5. Step 5: Solve for x
    x = 203,387,611,222.01/506,088.33
  6. Step 6: Final answer
    x = 401,881.65

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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.