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Finding the Fourth Proportional to 535,838.40, 803,066.40 and 410,558.40

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Solution

The fourth proportional to 535,838.40, 803,066.40 and 410,558.40 is: 615,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,838.40 : 803,066.40 = 410,558.40 : x
  2. Step 2: Convert to fraction form
    535,838.40/803,066.40 = 410,558.40/x
  3. Step 3: Cross multiply
    535,838.40x = 803,066.40 × 410,558.40
  4. Step 4: Simplify right side
    535,838.40x = 329,705,656,277.76
  5. Step 5: Solve for x
    x = 329,705,656,277.76/535,838.40
  6. Step 6: Final answer
    x = 615,308.00

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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.