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Finding the Fourth Proportional to 670,128.80, 924,784.88 and 364,205.20

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Solution

The fourth proportional to 670,128.80, 924,784.88 and 364,205.20 is: 502,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,128.80 : 924,784.88 = 364,205.20 : x
  2. Step 2: Convert to fraction form
    670,128.80/924,784.88 = 364,205.20/x
  3. Step 3: Cross multiply
    670,128.80x = 924,784.88 × 364,205.20
  4. Step 4: Simplify right side
    670,128.80x = 336,811,462,177.38
  5. Step 5: Solve for x
    x = 336,811,462,177.38/670,128.80
  6. Step 6: Final answer
    x = 502,607.05

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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.