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Finding the Fourth Proportional to 523,421.64, 784,110.02 and 249,478.02

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Solution

The fourth proportional to 523,421.64, 784,110.02 and 249,478.02 is: 373,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,421.64 : 784,110.02 = 249,478.02 : x
  2. Step 2: Convert to fraction form
    523,421.64/784,110.02 = 249,478.02/x
  3. Step 3: Cross multiply
    523,421.64x = 784,110.02 × 249,478.02
  4. Step 4: Simplify right side
    523,421.64x = 195,618,214,004.37
  5. Step 5: Solve for x
    x = 195,618,214,004.37/523,421.64
  6. Step 6: Final answer
    x = 373,729.70

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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.