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Finding the Fourth Proportional to 397,303, 596,329.02 and 144,827.50

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Solution

The fourth proportional to 397,303, 596,329.02 and 144,827.50 is: 217,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,303 : 596,329.02 = 144,827.50 : x
  2. Step 2: Convert to fraction form
    397,303/596,329.02 = 144,827.50/x
  3. Step 3: Cross multiply
    397,303x = 596,329.02 × 144,827.50
  4. Step 4: Simplify right side
    397,303x = 86,364,841,144.05
  5. Step 5: Solve for x
    x = 86,364,841,144.05/397,303
  6. Step 6: Final answer
    x = 217,377.77

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1.5x scale

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.