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Finding the Fourth Proportional to 478,823.40, 716,852.70 and 292,199.40

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Solution

The fourth proportional to 478,823.40, 716,852.70 and 292,199.40 is: 437,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,823.40 : 716,852.70 = 292,199.40 : x
  2. Step 2: Convert to fraction form
    478,823.40/716,852.70 = 292,199.40/x
  3. Step 3: Cross multiply
    478,823.40x = 716,852.70 × 292,199.40
  4. Step 4: Simplify right side
    478,823.40x = 209,463,928,828.38
  5. Step 5: Solve for x
    x = 209,463,928,828.38/478,823.40
  6. Step 6: Final answer
    x = 437,455.50

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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.