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Finding the Fourth Proportional to 506,192.04, 698,720.93 and 291,417.71

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Solution

The fourth proportional to 506,192.04, 698,720.93 and 291,417.71 is: 402,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,192.04 : 698,720.93 = 291,417.71 : x
  2. Step 2: Convert to fraction form
    506,192.04/698,720.93 = 291,417.71/x
  3. Step 3: Cross multiply
    506,192.04x = 698,720.93 × 291,417.71
  4. Step 4: Simplify right side
    506,192.04x = 203,619,649,491.79
  5. Step 5: Solve for x
    x = 203,619,649,491.79/506,192.04
  6. Step 6: Final answer
    x = 402,257.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.