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Finding the Fourth Proportional to 286,567.60, 428,830.80 and 249,534.40

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Solution

The fourth proportional to 286,567.60, 428,830.80 and 249,534.40 is: 373,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,567.60 : 428,830.80 = 249,534.40 : x
  2. Step 2: Convert to fraction form
    286,567.60/428,830.80 = 249,534.40/x
  3. Step 3: Cross multiply
    286,567.60x = 428,830.80 × 249,534.40
  4. Step 4: Simplify right side
    286,567.60x = 107,008,036,379.52
  5. Step 5: Solve for x
    x = 107,008,036,379.52/286,567.60
  6. Step 6: Final answer
    x = 373,412.89

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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.