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Finding the Fourth Proportional to 651,876.30, 977,486.40 and 385,718.40

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Solution

The fourth proportional to 651,876.30, 977,486.40 and 385,718.40 is: 578,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,876.30 : 977,486.40 = 385,718.40 : x
  2. Step 2: Convert to fraction form
    651,876.30/977,486.40 = 385,718.40/x
  3. Step 3: Cross multiply
    651,876.30x = 977,486.40 × 385,718.40
  4. Step 4: Simplify right side
    651,876.30x = 377,034,490,229.76
  5. Step 5: Solve for x
    x = 377,034,490,229.76/651,876.30
  6. Step 6: Final answer
    x = 578,383.49

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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.