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Finding the Fourth Proportional to 506,597.46, 758,897.49 and 411,934.50

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Solution

The fourth proportional to 506,597.46, 758,897.49 and 411,934.50 is: 617,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,597.46 : 758,897.49 = 411,934.50 : x
  2. Step 2: Convert to fraction form
    506,597.46/758,897.49 = 411,934.50/x
  3. Step 3: Cross multiply
    506,597.46x = 758,897.49 × 411,934.50
  4. Step 4: Simplify right side
    506,597.46x = 312,616,058,094.41
  5. Step 5: Solve for x
    x = 312,616,058,094.41/506,597.46
  6. Step 6: Final answer
    x = 617,089.67

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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.