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Finding the Fourth Proportional to 596,301.12, 894,866.40 and 385,416

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Solution

The fourth proportional to 596,301.12, 894,866.40 and 385,416 is: 578,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,301.12 : 894,866.40 = 385,416 : x
  2. Step 2: Convert to fraction form
    596,301.12/894,866.40 = 385,416/x
  3. Step 3: Cross multiply
    596,301.12x = 894,866.40 × 385,416
  4. Step 4: Simplify right side
    596,301.12x = 344,895,828,422.40
  5. Step 5: Solve for x
    x = 344,895,828,422.40/596,301.12
  6. Step 6: Final answer
    x = 578,392.05

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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.