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Finding the Fourth Proportional to 533,668.60, 736,681.80 and 361,821.94

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Solution

The fourth proportional to 533,668.60, 736,681.80 and 361,821.94 is: 499,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,668.60 : 736,681.80 = 361,821.94 : x
  2. Step 2: Convert to fraction form
    533,668.60/736,681.80 = 361,821.94/x
  3. Step 3: Cross multiply
    533,668.60x = 736,681.80 × 361,821.94
  4. Step 4: Simplify right side
    533,668.60x = 266,547,638,038.69
  5. Step 5: Solve for x
    x = 266,547,638,038.69/533,668.60
  6. Step 6: Final answer
    x = 499,462.85

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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.