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Finding the Fourth Proportional to 302,730, 417,780.36 and 168,594

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Solution

The fourth proportional to 302,730, 417,780.36 and 168,594 is: 232,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,730 : 417,780.36 = 168,594 : x
  2. Step 2: Convert to fraction form
    302,730/417,780.36 = 168,594/x
  3. Step 3: Cross multiply
    302,730x = 417,780.36 × 168,594
  4. Step 4: Simplify right side
    302,730x = 70,435,262,013.84
  5. Step 5: Solve for x
    x = 70,435,262,013.84/302,730
  6. Step 6: Final answer
    x = 232,666.94

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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.