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Finding the Fourth Proportional to 438,466.40, 657,699.60 and 288,875.60

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Solution

The fourth proportional to 438,466.40, 657,699.60 and 288,875.60 is: 433,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,466.40 : 657,699.60 = 288,875.60 : x
  2. Step 2: Convert to fraction form
    438,466.40/657,699.60 = 288,875.60/x
  3. Step 3: Cross multiply
    438,466.40x = 657,699.60 × 288,875.60
  4. Step 4: Simplify right side
    438,466.40x = 189,993,366,569.76
  5. Step 5: Solve for x
    x = 189,993,366,569.76/438,466.40
  6. Step 6: Final answer
    x = 433,313.40

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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.