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Finding the Fourth Proportional to 474,798.84, 711,706.14 and 296,897.52

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Solution

The fourth proportional to 474,798.84, 711,706.14 and 296,897.52 is: 445,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,798.84 : 711,706.14 = 296,897.52 : x
  2. Step 2: Convert to fraction form
    474,798.84/711,706.14 = 296,897.52/x
  3. Step 3: Cross multiply
    474,798.84x = 711,706.14 × 296,897.52
  4. Step 4: Simplify right side
    474,798.84x = 211,303,787,934.77
  5. Step 5: Solve for x
    x = 211,303,787,934.77/474,798.84
  6. Step 6: Final answer
    x = 445,038.55

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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.