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Finding the Fourth Proportional to 492,823.98, 735,670.94 and 433,037.10

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Solution

The fourth proportional to 492,823.98, 735,670.94 and 433,037.10 is: 646,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,823.98 : 735,670.94 = 433,037.10 : x
  2. Step 2: Convert to fraction form
    492,823.98/735,670.94 = 433,037.10/x
  3. Step 3: Cross multiply
    492,823.98x = 735,670.94 × 433,037.10
  4. Step 4: Simplify right side
    492,823.98x = 318,572,808,246.69
  5. Step 5: Solve for x
    x = 318,572,808,246.69/492,823.98
  6. Step 6: Final answer
    x = 646,423.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.