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Finding the Fourth Proportional to 596,925, 824,303.84 and 379,203.98

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Solution

The fourth proportional to 596,925, 824,303.84 and 379,203.98 is: 523,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,925 : 824,303.84 = 379,203.98 : x
  2. Step 2: Convert to fraction form
    596,925/824,303.84 = 379,203.98/x
  3. Step 3: Cross multiply
    596,925x = 824,303.84 × 379,203.98
  4. Step 4: Simplify right side
    596,925x = 312,579,290,839.74
  5. Step 5: Solve for x
    x = 312,579,290,839.74/596,925
  6. Step 6: Final answer
    x = 523,649.19

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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.