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Finding the Fourth Proportional to 506,141.32, 698,483.32 and 302,210.06

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Solution

The fourth proportional to 506,141.32, 698,483.32 and 302,210.06 is: 417,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,141.32 : 698,483.32 = 302,210.06 : x
  2. Step 2: Convert to fraction form
    506,141.32/698,483.32 = 302,210.06/x
  3. Step 3: Cross multiply
    506,141.32x = 698,483.32 × 302,210.06
  4. Step 4: Simplify right side
    506,141.32x = 211,088,687,143.84
  5. Step 5: Solve for x
    x = 211,088,687,143.84/506,141.32
  6. Step 6: Final answer
    x = 417,054.84

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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.