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Finding the Fourth Proportional to 575,438.40, 804,564 and 575,438.40

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Solution

The fourth proportional to 575,438.40, 804,564 and 575,438.40 is: 804,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,438.40 : 804,564 = 575,438.40 : x
  2. Step 2: Convert to fraction form
    575,438.40/804,564 = 575,438.40/x
  3. Step 3: Cross multiply
    575,438.40x = 804,564 × 575,438.40
  4. Step 4: Simplify right side
    575,438.40x = 462,977,020,857.60
  5. Step 5: Solve for x
    x = 462,977,020,857.60/575,438.40
  6. Step 6: Final answer
    x = 804,564

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.