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Finding the Fourth Proportional to 595,710.16, 822,088.35 and 323,777.98

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Solution

The fourth proportional to 595,710.16, 822,088.35 and 323,777.98 is: 446,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,710.16 : 822,088.35 = 323,777.98 : x
  2. Step 2: Convert to fraction form
    595,710.16/822,088.35 = 323,777.98/x
  3. Step 3: Cross multiply
    595,710.16x = 822,088.35 × 323,777.98
  4. Step 4: Simplify right side
    595,710.16x = 266,174,105,344.53
  5. Step 5: Solve for x
    x = 266,174,105,344.53/595,710.16
  6. Step 6: Final answer
    x = 446,818.14

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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.